16971264 has 120 divisors (see below), whose sum is σ = 51068160. Its totient is φ = 5419008.

The previous prime is 16971257. The next prime is 16971281. The reversal of 16971264 is 46217961.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 133569 + ... + 133695.

It is an arithmetic number, because the mean of its divisors is an integer number (425568).

Almost surely, 2^16971264 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 16971264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25534080).

16971264 is an abundant number, since it is smaller than the sum of its proper divisors (34096896).

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

16971264 is a wasteful number, since it uses less digits than its factorization.

16971264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 161 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 16971264 is about 4119.6193998961. The cubic root of 16971264 is about 256.9831982435.

The spelling of 16971264 in words is "sixteen million, nine hundred seventy-one thousand, two hundred sixty-four".