57260034 has 128 divisors (see below), whose sum is σ = 148780800. Its totient is φ = 16376256.

The previous prime is 57260033. The next prime is 57260051. The reversal of 57260034 is 43006275.

It is a happy number.

57260034 is a `hidden beast` number, since 57 + 2 + 600 + 3 + 4 = 666.

It is a super-3 number, since 3×57260034³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (57260033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1080352 + ... + 1080404.

It is an arithmetic number, because the mean of its divisors is an integer number (1162350).

Almost surely, 2^57260034 is an apocalyptic number.

57260034 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57260034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74390400).

57260034 is an abundant number, since it is smaller than the sum of its proper divisors (91520766).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57260034 is a wasteful number, since it uses less digits than its factorization.

57260034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 57260034 is about 7567.0360115438. The cubic root of 57260034 is about 385.4344541772.

It can be divided in two parts, 572 and 60034, that added together give a palindrome (60606).

The spelling of 57260034 in words is "fifty-seven million, two hundred sixty thousand, thirty-four".