634671264 has 96 divisors (see below), whose sum is σ = 1731784320. Its totient is φ = 203277312.

The previous prime is 634671253. The next prime is 634671281. The reversal of 634671264 is 462176436.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×634671264² = 805615226694715392, which contains 22 as substring.

Its product of digits (145152) is a multiple of the sum of its prime divisors (1134).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 770757 + ... + 771579.

It is an arithmetic number, because the mean of its divisors is an integer number (18039420).

Almost surely, 2^634671264 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 634671264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865892160).

634671264 is an abundant number, since it is smaller than the sum of its proper divisors (1097113056).

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

634671264 is a wasteful number, since it uses less digits than its factorization.

634671264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1134 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 634671264 is about 25192.6827471788. The cubic root of 634671264 is about 859.3754542525.

The spelling of 634671264 in words is "six hundred thirty-four million, six hundred seventy-one thousand, two hundred sixty-four".