7649712 has 60 divisors (see below), whose sum is σ = 24470160. Its totient is φ = 2185344.

The previous prime is 7649693. The next prime is 7649737. The reversal of 7649712 is 2179467.

It is a happy number.

7649712 is a `hidden beast` number, since 7 + 649 + 7 + 1 + 2 = 666.

7649712 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2787 + ... + 4802.

It is an arithmetic number, because the mean of its divisors is an integer number (407836).

Almost surely, 2^7649712 is an apocalyptic number.

7649712 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7649712 is an abundant number, since it is smaller than the sum of its proper divisors (16820448).

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

7649712 is a wasteful number, since it uses less digits than its factorization.

7649712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7610 (or 7601 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 7649712 is about 2765.8112733880. The cubic root of 7649712 is about 197.0372609396.

The spelling of 7649712 in words is "seven million, six hundred forty-nine thousand, seven hundred twelve".