16003680 has 192 divisors, whose sum is σ = 62995968. Its totient is φ = 3317760.

The previous prime is 16003667. The next prime is 16003703. The reversal of 16003680 is 8630061.

It is a super-2 number, since 2×16003680² = 512235547084800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 16003680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36744 + ... + 37176.

It is an arithmetic number, because the mean of its divisors is an integer number (328104).

Almost surely, 2^16003680 is an apocalyptic number.

16003680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16003680 is the 2310-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16003680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31497984).

16003680 is an abundant number, since it is smaller than the sum of its proper divisors (46992288).

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

16003680 is a wasteful number, since it uses less digits than its factorization.

16003680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 16003680 is about 4000.4599735530. The cubic root of 16003680 is about 252.0035272875.

The spelling of 16003680 in words is "sixteen million, three thousand, six hundred eighty".