16536640 has 56 divisors (see below), whose sum is σ = 40672512. Its totient is φ = 6397440.

The previous prime is 16536613. The next prime is 16536643. The reversal of 16536640 is 4663561.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (16536643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9087 + ... + 10753.

Almost surely, 2^16536640 is an apocalyptic number.

16536640 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 16536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20336256).

16536640 is an abundant number, since it is smaller than the sum of its proper divisors (24135872).

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

16536640 is a wasteful number, since it uses less digits than its factorization.

16536640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 16536640 is about 4066.5267735501. The cubic root of 16536640 is about 254.7704714049.

The spelling of 16536640 in words is "sixteen million, five hundred thirty-six thousand, six hundred forty".