7693952 has 64 divisors (see below), whose sum is σ = 18147840. Its totient is φ = 3179520.

The previous prime is 7693951. The next prime is 7693963. The reversal of 7693952 is 2593967.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (7693951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27638 + ... + 27914.

It is an arithmetic number, because the mean of its divisors is an integer number (283560).

Almost surely, 2^7693952 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 7693952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9073920).

7693952 is an abundant number, since it is smaller than the sum of its proper divisors (10453888).

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

7693952 is a wasteful number, since it uses less digits than its factorization.

7693952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 317 counting only the distinct ones).

The product of its digits is 102060, while the sum is 41.

The square root of 7693952 is about 2773.7973970714. The cubic root of 7693952 is about 197.4163679449.

The spelling of 7693952 in words is "seven million, six hundred ninety-three thousand, nine hundred fifty-two".