633057216 has 56 divisors (see below), whose sum is σ = 1827239424. Its totient is φ = 191834880.

The previous prime is 633057209. The next prime is 633057233. The reversal of 633057216 is 612750336.

It is a super-2 number, since 2×633057216² = 801522877459341312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147760 + ... + 151983.

Almost surely, 2^633057216 is an apocalyptic number.

633057216 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

633057216 is an abundant number, since it is smaller than the sum of its proper divisors (1194182208).

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

633057216 is a wasteful number, since it uses less digits than its factorization.

633057216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299769 (or 299759 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 633057216 is about 25160.6282910423. The cubic root of 633057216 is about 858.6463362512.

It can be divided in two parts, 6330 and 57216, that added together give a triangular number (63546 = T₃₅₆).

The spelling of 633057216 in words is "six hundred thirty-three million, fifty-seven thousand, two hundred sixteen".