57623040 has 240 divisors, whose sum is σ = 207783576. Its totient is φ = 14745600.

The previous prime is 57623039. The next prime is 57623057. The reversal of 57623040 is 4032675.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14379264 + 43243776 = 3792^2 + 6576^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 57622995 and 57623013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 944610 + ... + 944670.

Almost surely, 2^57623040 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 57623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103891788).

57623040 is an abundant number, since it is smaller than the sum of its proper divisors (150160536).

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

57623040 is a wasteful number, since it uses less digits than its factorization.

57623040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 57623040 is about 7590.9841259220. The cubic root of 57623040 is about 386.2472397453.

The spelling of 57623040 in words is "fifty-seven million, six hundred twenty-three thousand, forty".