88497792 has 128 divisors (see below), whose sum is σ = 270504000. Its totient is φ = 28449792.

The previous prime is 88497751. The next prime is 88497797. The reversal of 88497792 is 29779488.

88497792 is a `hidden beast` number, since 88 + 497 + 79 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (88497797) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 99783 + ... + 100665.

Almost surely, 2^88497792 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 88497792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135252000).

88497792 is an abundant number, since it is smaller than the sum of its proper divisors (182006208).

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

88497792 is a wasteful number, since it uses less digits than its factorization.

88497792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 917 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 88497792 is about 9407.3265065054. The cubic root of 88497792 is about 445.6331382279.

It can be divided in two parts, 8849 and 7792, that added together give a square (16641 = 129²).

The spelling of 88497792 in words is "eighty-eight million, four hundred ninety-seven thousand, seven hundred ninety-two".