88417952 has 144 divisors (see below), whose sum is σ = 223388928. Its totient is φ = 34191360.

The previous prime is 88417949. The next prime is 88417961. The reversal of 88417952 is 25971488.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 826283 + ... + 826389.

It is an arithmetic number, because the mean of its divisors is an integer number (1551312).

Almost surely, 2^88417952 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 88417952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111694464).

88417952 is an abundant number, since it is smaller than the sum of its proper divisors (134970976).

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

88417952 is a wasteful number, since it uses less digits than its factorization.

88417952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 164 counting only the distinct ones).

The product of its digits is 161280, while the sum is 44.

The square root of 88417952 is about 9403.0820479245. The cubic root of 88417952 is about 445.4990857133.

The spelling of 88417952 in words is "eighty-eight million, four hundred seventeen thousand, nine hundred fifty-two".