88634952 has 192 divisors, whose sum is σ = 295516800. Its totient is φ = 24105600.

The previous prime is 88634947. The next prime is 88634963. The reversal of 88634952 is 25943688.

88634952 is a `hidden beast` number, since 8 + 8 + 634 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 88634898 and 88634907.

It is an unprimeable 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 47 ways as a sum of consecutive naturals, for example, 1453002 + ... + 1453062.

It is an arithmetic number, because the mean of its divisors is an integer number (1539150).

Almost surely, 2^88634952 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 88634952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147758400).

88634952 is an abundant number, since it is smaller than the sum of its proper divisors (206881848).

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

88634952 is a wasteful number, since it uses less digits than its factorization.

88634952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 104 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 88634952 is about 9414.6137467238. The cubic root of 88634952 is about 445.8632437460.

The spelling of 88634952 in words is "eighty-eight million, six hundred thirty-four thousand, nine hundred fifty-two".