915952 has 40 divisors (see below), whose sum is σ = 1964160. Its totient is φ = 411840.

The previous prime is 915949. The next prime is 915961. The reversal of 915952 is 259519.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 6927 + ... + 7057.

It is an arithmetic number, because the mean of its divisors is an integer number (49104).

2⁹¹⁵⁹⁵² is an apocalyptic number.

915952 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 915952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982080).

915952 is an abundant number, since it is smaller than the sum of its proper divisors (1048208).

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

915952 is a wasteful number, since it uses less digits than its factorization.

915952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 175 counting only the distinct ones).

The product of its digits is 4050, while the sum is 31.

The square root of 915952 is about 957.0538124891. The cubic root of 915952 is about 97.1160265331.

The spelling of 915952 in words is "nine hundred fifteen thousand, nine hundred fifty-two".