57350700 has 144 divisors (see below), whose sum is σ = 201237120. Its totient is φ = 13896000.

The previous prime is 57350693. The next prime is 57350731. The reversal of 57350700 is 705375.

57350700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28735 + ... + 30665.

It is an arithmetic number, because the mean of its divisors is an integer number (1397480).

Almost surely, 2^57350700 is an apocalyptic number.

57350700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57350700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100618560).

57350700 is an abundant number, since it is smaller than the sum of its proper divisors (143886420).

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

57350700 is a wasteful number, since it uses less digits than its factorization.

57350700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 3675, while the sum is 27.

The square root of 57350700 is about 7573.0244948765. The cubic root of 57350700 is about 385.6377802408.

The spelling of 57350700 in words is "fifty-seven million, three hundred fifty thousand, seven hundred".