7664940 has 72 divisors (see below), whose sum is σ = 23543520. Its totient is φ = 2018304.

The previous prime is 7664939. The next prime is 7664953. The reversal of 7664940 is 494667.

7664940 is a `hidden beast` number, since 7 + 6 + 649 + 4 + 0 = 666.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 7664895 and 7664904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17241 + ... + 17679.

Almost surely, 2^7664940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7664940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11771760).

7664940 is an abundant number, since it is smaller than the sum of its proper divisors (15878580).

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

7664940 is a wasteful number, since it uses less digits than its factorization.

7664940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 7664940 is about 2768.5628040556. The cubic root of 7664940 is about 197.1679192191.

The spelling of 7664940 in words is "seven million, six hundred sixty-four thousand, nine hundred forty".