634416 has 20 divisors (see below), whose sum is σ = 1639032. Its totient is φ = 211456.

The previous prime is 634397. The next prime is 634421. The reversal of 634416 is 614436.

634416 = 125² + 126² + ... + 156².

It is a super-2 number, since 2×634416² = 804967322112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6561 + ... + 6656.

2⁶³⁴⁴¹⁶ is an apocalyptic number.

It is an amenable number.

634416 is an abundant number, since it is smaller than the sum of its proper divisors (1004616).

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

634416 is a wasteful number, since it uses less digits than its factorization.

634416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13228 (or 13222 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 634416 is about 796.5023540455. The cubic root of 634416 is about 85.9260225553.

The spelling of 634416 in words is "six hundred thirty-four thousand, four hundred sixteen".