88913952 has 144 divisors (see below), whose sum is σ = 272982528. Its totient is φ = 27371520.

The previous prime is 88913941. The next prime is 88913987. The reversal of 88913952 is 25931988.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 88913898 and 88913907.

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, 205128 + ... + 205560.

It is an arithmetic number, because the mean of its divisors is an integer number (1895712).

Almost surely, 2^88913952 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 88913952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136491264).

88913952 is an abundant number, since it is smaller than the sum of its proper divisors (184068576).

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

88913952 is a wasteful number, since it uses less digits than its factorization.

88913952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 492 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 88913952 is about 9429.4194943273. The cubic root of 88913952 is about 446.3305746275.

It can be divided in two parts, 889 and 13952, that added together give a palindrome (14841).

The spelling of 88913952 in words is "eighty-eight million, nine hundred thirteen thousand, nine hundred fifty-two".