57652320 has 192 divisors, whose sum is σ = 202487040. Its totient is φ = 13670400.

The previous prime is 57652307. The next prime is 57652333. The reversal of 57652320 is 2325675.

It is an interprime number because it is at equal distance from previous prime (57652307) and next prime (57652333).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321991 + ... + 322169.

It is an arithmetic number, because the mean of its divisors is an integer number (1054620).

Almost surely, 2^57652320 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 57652320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101243520).

57652320 is an abundant number, since it is smaller than the sum of its proper divisors (144834720).

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

57652320 is a wasteful number, since it uses less digits than its factorization.

57652320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 57652320 is about 7592.9124846794. The cubic root of 57652320 is about 386.3126499480.

Adding to 57652320 its reverse (2325675), we get a palindrome (59977995).

The spelling of 57652320 in words is "fifty-seven million, six hundred fifty-two thousand, three hundred twenty".