88972884 has 192 divisors, whose sum is σ = 310087680. Its totient is φ = 21306240.

The previous prime is 88972879. The next prime is 88972889. The reversal of 88972884 is 48827988.

It is an interprime number because it is at equal distance from previous prime (88972879) and next prime (88972889).

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

It is a self number, because there is not a number n which added to its sum of digits gives 88972884.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88972889) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107697 + ... + 108519.

It is an arithmetic number, because the mean of its divisors is an integer number (1615040).

Almost surely, 2^88972884 is an apocalyptic number.

88972884 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88972884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155043840).

88972884 is an abundant number, since it is smaller than the sum of its proper divisors (221114796).

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

88972884 is a wasteful number, since it uses less digits than its factorization.

88972884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 859 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The square root of 88972884 is about 9432.5438774490. The cubic root of 88972884 is about 446.4291618711.

Subtracting from 88972884 its reverse (48827988), we obtain a square (40144896 = 6336²).

It can be divided in two parts, 8897 and 2884, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 88972884 in words is "eighty-eight million, nine hundred seventy-two thousand, eight hundred eighty-four".