57661824 has 192 divisors, whose sum is σ = 180699120. Its totient is φ = 16220160.

The previous prime is 57661823. The next prime is 57661847. The reversal of 57661824 is 42816675.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57661823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 789852 + ... + 789924.

Almost surely, 2^57661824 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 57661824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90349560).

57661824 is an abundant number, since it is smaller than the sum of its proper divisors (123037296).

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

57661824 is a wasteful number, since it uses less digits than its factorization.

57661824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 106 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 57661824 is about 7593.5383056912. The cubic root of 57661824 is about 386.3338766953. Note that the first 3 decimals are identical.

It can be divided in two parts, 57661 and 824, that added together give a palindrome (58485).

The spelling of 57661824 in words is "fifty-seven million, six hundred sixty-one thousand, eight hundred twenty-four".