88672224 has 48 divisors (see below), whose sum is σ = 235971792. Its totient is φ = 29150208.

The previous prime is 88672219. The next prime is 88672229. The reversal of 88672224 is 42227688.

It is an interprime number because it is at equal distance from previous prime (88672219) and next prime (88672229).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88672229) 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 7 ways as a sum of consecutive naturals, for example, 682 + ... + 13334.

It is an arithmetic number, because the mean of its divisors is an integer number (4916079).

Almost surely, 2^88672224 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 88672224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117985896).

88672224 is an abundant number, since it is smaller than the sum of its proper divisors (147299568).

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

88672224 is a wasteful number, since it uses less digits than its factorization.

88672224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12739 (or 12731 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 88672224 is about 9416.5930144612. The cubic root of 88672224 is about 445.9257318337.

The spelling of 88672224 in words is "eighty-eight million, six hundred seventy-two thousand, two hundred twenty-four".