88972416 has 144 divisors (see below), whose sum is σ = 277843410. Its totient is φ = 27316224.

The previous prime is 88972397. The next prime is 88972417. The reversal of 88972416 is 61427988.

It can be written as a sum of positive squares in 3 ways, for example, as 62346816 + 26625600 = 7896^2 + 5160^2 .

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

It is not an unprimeable number, because it can be changed into a prime (88972417) 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 17 ways as a sum of consecutive naturals, for example, 194460 + ... + 194916.

Almost surely, 2^88972416 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 88972416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138921705).

88972416 is an abundant number, since it is smaller than the sum of its proper divisors (188870994).

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

88972416 is a wasteful number, since it uses less digits than its factorization.

88972416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 475 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 88972416 is about 9432.5190696865. The cubic root of 88972416 is about 446.4283791262.

The spelling of 88972416 in words is "eighty-eight million, nine hundred seventy-two thousand, four hundred sixteen".