57619040 has 48 divisors (see below), whose sum is σ = 137214000. Its totient is φ = 22863360.

The previous prime is 57619013. The next prime is 57619043. The reversal of 57619040 is 4091675.

It is a happy number.

57619040 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 (32).

It is a junction number, because it is equal to n+sod(n) for n = 57618988 and 57619006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57619043) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 19586 + ... + 22334.

It is an arithmetic number, because the mean of its divisors is an integer number (2858625).

Almost surely, 2^57619040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57619040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68607000).

57619040 is an abundant number, since it is smaller than the sum of its proper divisors (79594960).

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

57619040 is a wasteful number, since it uses less digits than its factorization.

57619040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895 (or 2887 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 57619040 is about 7590.7206509000. The cubic root of 57619040 is about 386.2383022051.

The spelling of 57619040 in words is "fifty-seven million, six hundred nineteen thousand, forty".