88417152 has 192 divisors, whose sum is σ = 274959360. Its totient is φ = 27202560.

The previous prime is 88417111. The next prime is 88417171. The reversal of 88417152 is 25171488.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×88417152² = 15635185535582208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1245277 + ... + 1245347.

It is an arithmetic number, because the mean of its divisors is an integer number (1432080).

Almost surely, 2^88417152 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 88417152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137479680).

88417152 is an abundant number, since it is smaller than the sum of its proper divisors (186542208).

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

88417152 is a wasteful number, since it uses less digits than its factorization.

88417152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 146 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 88417152 is about 9403.0395085844. The cubic root of 88417152 is about 445.4977420935.

The spelling of 88417152 in words is "eighty-eight million, four hundred seventeen thousand, one hundred fifty-two".