632164416 has 112 divisors (see below), whose sum is σ = 1810658304. Its totient is φ = 193499136.

The previous prime is 632164391. The next prime is 632164427. The reversal of 632164416 is 614461236.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 581025 + ... + 582111.

It is an arithmetic number, because the mean of its divisors is an integer number (16166592).

Almost surely, 2^632164416 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 632164416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905329152).

632164416 is an abundant number, since it is smaller than the sum of its proper divisors (1178493888).

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

632164416 is a wasteful number, since it uses less digits than its factorization.

632164416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1338 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 632164416 is about 25142.8800259636. The cubic root of 632164416 is about 858.2424969718.

The spelling of 632164416 in words is "six hundred thirty-two million, one hundred sixty-four thousand, four hundred sixteen".