57630000 has 200 divisors, whose sum is σ = 198723888. Its totient is φ = 14336000.

The previous prime is 57629963. The next prime is 57630011. The reversal of 57630000 is 3675.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 509944 + ... + 510056.

Almost surely, 2^57630000 is an apocalyptic number.

57630000 is a gapful number since it is divisible by the number (50) 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 57630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99361944).

57630000 is an abundant number, since it is smaller than the sum of its proper divisors (141093888).

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

57630000 is a wasteful number, since it uses less digits than its factorization.

57630000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 57630000 is about 7591.4425506619. The cubic root of 57630000 is about 386.2627900793.

Adding to 57630000 its reverse (3675), we get a palindrome (57633675).

The spelling of 57630000 in words is "fifty-seven million, six hundred thirty thousand".