88956 has 36 divisors (see below), whose sum is σ = 257712. Its totient is φ = 25344.

The previous prime is 88951. The next prime is 88969. The reversal of 88956 is 65988.

88956 = T₂₆ + T₂₇ + ... + T₈₁.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 88956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88951) by changing a digit.

88956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76 + ... + 428.

2⁸⁸⁹⁵⁶ 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 88956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128856).

88956 is an abundant number, since it is smaller than the sum of its proper divisors (168756).

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

88956 is a wasteful number, since it uses less digits than its factorization.

88956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 365 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 88956 is about 298.2549245193. The cubic root of 88956 is about 44.6400921107.

The spelling of 88956 in words is "eighty-eight thousand, nine hundred fifty-six".