88624242 has 72 divisors (see below), whose sum is σ = 226079100. Its totient is φ = 25014528.

The previous prime is 88624231. The next prime is 88624253. The reversal of 88624242 is 24242688.

It is a happy number.

88624242 is a `hidden beast` number, since 8 + 8 + 624 + 24 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (88624231) and next prime (88624253).

It can be written as a sum of positive squares in 2 ways, for example, as 74494161 + 14130081 = 8631^2 + 3759^2 .

It is a junction number, because it is equal to n+sod(n) for n = 88624197 and 88624206.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 77934 + ... + 79062.

Almost surely, 2^88624242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88624242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113039550).

88624242 is an abundant number, since it is smaller than the sum of its proper divisors (137454858).

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

88624242 is a wasteful number, since it uses less digits than its factorization.

88624242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1230 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 88624242 is about 9414.0449329712. The cubic root of 88624242 is about 445.8452847370.

The spelling of 88624242 in words is "eighty-eight million, six hundred twenty-four thousand, two hundred forty-two".