57024630 has 192 divisors, whose sum is σ = 175488768. Its totient is φ = 12718080.

The previous prime is 57024629. The next prime is 57024631. The reversal of 57024630 is 3642075.

It is a happy number.

57024630 is a `hidden beast` number, since 5 + 7 + 0 + 24 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (57024629) and next prime (57024631).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 57024594 and 57024603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57024631) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 934800 + ... + 934860.

It is an arithmetic number, because the mean of its divisors is an integer number (914004).

Almost surely, 2^57024630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57024630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87744384).

57024630 is an abundant number, since it is smaller than the sum of its proper divisors (118464138).

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

57024630 is a wasteful number, since it uses less digits than its factorization.

57024630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 148 counting only the distinct ones).

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

The square root of 57024630 is about 7551.4654206982. The cubic root of 57024630 is about 384.9055370653.

It can be divided in two parts, 570 and 24630, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 57024630 in words is "fifty-seven million, twenty-four thousand, six hundred thirty".