16382640 has 40 divisors (see below), whose sum is σ = 50786928. Its totient is φ = 4368640.

The previous prime is 16382629. The next prime is 16382677. The reversal of 16382640 is 4628361.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 16382598 and 16382607.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33891 + ... + 34370.

Almost surely, 2^16382640 is an apocalyptic number.

16382640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16382640 is an abundant number, since it is smaller than the sum of its proper divisors (34404288).

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

16382640 is a wasteful number, since it uses less digits than its factorization.

16382640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68277 (or 68271 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 16382640 is about 4047.5474055284. The cubic root of 16382640 is about 253.9771405637.

It can be divided in two parts, 1638 and 2640, that added together give a triangular number (4278 = T₉₂).

The spelling of 16382640 in words is "sixteen million, three hundred eighty-two thousand, six hundred forty".