89926416 has 160 divisors (see below), whose sum is σ = 272363520. Its totient is φ = 28377216.

The previous prime is 89926387. The next prime is 89926427. The reversal of 89926416 is 61462998.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 873021 + ... + 873123.

It is an arithmetic number, because the mean of its divisors is an integer number (1702272).

Almost surely, 2^89926416 is an apocalyptic number.

89926416 is a gapful number since it is divisible by the number (86) 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 89926416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136181760).

89926416 is an abundant number, since it is smaller than the sum of its proper divisors (182437104).

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

89926416 is a wasteful number, since it uses less digits than its factorization.

89926416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 89926416 is about 9482.9539701509. The cubic root of 89926416 is about 448.0183081379.

The spelling of 89926416 in words is "eighty-nine million, nine hundred twenty-six thousand, four hundred sixteen".