89314624 has 56 divisors (see below), whose sum is σ = 205402688. Its totient is φ = 37739520.

The previous prime is 89314609. The next prime is 89314637. The reversal of 89314624 is 42641398.

It is a Cunningham number, because it is equal to 447³+1.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×89314624² = 15954204120522752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 31339 + ... + 34069.

Almost surely, 2^89314624 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 89314624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102701344).

89314624 is an abundant number, since it is smaller than the sum of its proper divisors (116088064).

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

89314624 is a wasteful number, since it uses less digits than its factorization.

89314624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2813 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 89314624 is about 9450.6414597106. The cubic root of 89314624 is about 447.0000016683. Note that the first 5 decimals are identical.

The spelling of 89314624 in words is "eighty-nine million, three hundred fourteen thousand, six hundred twenty-four".