88631296 has 48 divisors (see below), whose sum is σ = 190908900. Its totient is φ = 40894464.

The previous prime is 88631293. The next prime is 88631297. The reversal of 88631296 is 69213688.

It can be written as a sum of positive squares in 2 ways, for example, as 83174400 + 5456896 = 9120^2 + 2336^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88631293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24960 + ... + 28288.

Almost surely, 2^88631296 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 88631296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95454450).

88631296 is an abundant number, since it is smaller than the sum of its proper divisors (102277604).

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

88631296 is a wasteful number, since it uses less digits than its factorization.

88631296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3364 (or 3344 counting only the distinct ones).

The product of its digits is 124416, while the sum is 43.

The square root of 88631296 is about 9414.4195784977. The cubic root of 88631296 is about 445.8571133636.

The spelling of 88631296 in words is "eighty-eight million, six hundred thirty-one thousand, two hundred ninety-six".