57618912 has 96 divisors (see below), whose sum is σ = 164560032. Its totient is φ = 17547264.

The previous prime is 57618901. The next prime is 57618917. The reversal of 57618912 is 21981675.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57618917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170808 + ... + 171144.

It is an arithmetic number, because the mean of its divisors is an integer number (1714167).

Almost surely, 2^57618912 is an apocalyptic number.

57618912 is a gapful number since it is divisible by the number (52) 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 57618912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82280016).

57618912 is an abundant number, since it is smaller than the sum of its proper divisors (106941120).

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

57618912 is a wasteful number, since it uses less digits than its factorization.

57618912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 492 counting only the distinct ones).

The product of its digits is 30240, while the sum is 39.

The square root of 57618912 is about 7590.7122195483. The cubic root of 57618912 is about 386.2380161969.

It can be divided in two parts, 576189 and 12, that added together give a triangular number (576201 = T₁₀₇₃).

The spelling of 57618912 in words is "fifty-seven million, six hundred eighteen thousand, nine hundred twelve".