16431264 has 72 divisors (see below), whose sum is σ = 47567520. Its totient is φ = 5378688.

The previous prime is 16431251. The next prime is 16431277. The reversal of 16431264 is 46213461.

16431264 is a `hidden beast` number, since 1 + 643 + 12 + 6 + 4 = 666.

16431264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16431251) and next prime (16431277).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16509 + ... + 17475.

It is an arithmetic number, because the mean of its divisors is an integer number (660660).

Almost surely, 2^16431264 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 16431264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23783760).

16431264 is an abundant number, since it is smaller than the sum of its proper divisors (31136256).

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

16431264 is a wasteful number, since it uses less digits than its factorization.

16431264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1031 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 16431264 is about 4053.5495556364. The cubic root of 16431264 is about 254.2281621095.

The spelling of 16431264 in words is "sixteen million, four hundred thirty-one thousand, two hundred sixty-four".