7869952 has 40 divisors (see below), whose sum is σ = 16572600. Its totient is φ = 3723264.

The previous prime is 7869941. The next prime is 7870007. The reversal of 7869952 is 2599687.

It is a super-2 number, since 2×7869952² = 123872288964608, which contains 22 as substring.

It is an Ulam number.

It is a d-powerful number, because it can be written as 7⁸ + 8 + 6⁵ + 9 + 9² + 5³ + 2²¹ .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9324 + ... + 10132.

It is an arithmetic number, because the mean of its divisors is an integer number (414315).

Almost surely, 2^7869952 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 7869952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8286300).

7869952 is an abundant number, since it is smaller than the sum of its proper divisors (8702648).

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

7869952 is an equidigital number, since it uses as much as digits as its factorization.

7869952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 830 counting only the distinct ones).

The product of its digits is 272160, while the sum is 46.

The square root of 7869952 is about 2805.3434727320. The cubic root of 7869952 is about 198.9103406611.

The spelling of 7869952 in words is "seven million, eight hundred sixty-nine thousand, nine hundred fifty-two".