16465680 has 360 divisors, whose sum is σ = 72037056. Its totient is φ = 3421440.

The previous prime is 16465679. The next prime is 16465717. The reversal of 16465680 is 8656461.

16465680 is a `hidden beast` number, since 1 + 646 + 5 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×16465680² = 542237235724800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1496875 + ... + 1496885.

Almost surely, 2^16465680 is an apocalyptic number.

16465680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16465680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36018528).

16465680 is an abundant number, since it is smaller than the sum of its proper divisors (55571376).

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

16465680 is a wasteful number, since it uses less digits than its factorization.

16465680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 16465680 is about 4057.7925033200. The cubic root of 16465680 is about 254.4055356574.

The spelling of 16465680 in words is "sixteen million, four hundred sixty-five thousand, six hundred eighty".