7952640 has 144 divisors (see below), whose sum is σ = 26980800. Its totient is φ = 1990656.

The previous prime is 7952629. The next prime is 7952657. The reversal of 7952640 is 462597.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72906 + ... + 73014.

Almost surely, 2^7952640 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 7952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13490400).

7952640 is an abundant number, since it is smaller than the sum of its proper divisors (19028160).

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

7952640 is a wasteful number, since it uses less digits than its factorization.

7952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 7952640 is about 2820.0425528704. The cubic root of 7952640 is about 199.6045519529.

The spelling of 7952640 in words is "seven million, nine hundred fifty-two thousand, six hundred forty".