16964640 has 480 divisors, whose sum is σ = 79035264. Its totient is φ = 3317760.

The previous prime is 16964627. The next prime is 16964659. The reversal of 16964640 is 4646961.

16964640 is a `hidden beast` number, since 1 + 6 + 9 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 16964595 and 16964604.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 997912 + ... + 997928.

Almost surely, 2^16964640 is an apocalyptic number.

16964640 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 16964640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39517632).

16964640 is an abundant number, since it is smaller than the sum of its proper divisors (62070624).

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

16964640 is a wasteful number, since it uses less digits than its factorization.

16964640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 16964640 is about 4118.8153636695. The cubic root of 16964640 is about 256.9497597948.

It can be divided in two parts, 1696 and 4640, that added together give a palindrome (6336).

The spelling of 16964640 in words is "sixteen million, nine hundred sixty-four thousand, six hundred forty".