90220416 has 256 divisors, whose sum is σ = 296110080. Its totient is φ = 23961600.

The previous prime is 90220397. The next prime is 90220433. The reversal of 90220416 is 61402209.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1702246 + ... + 1702298.

It is an arithmetic number, because the mean of its divisors is an integer number (1156680).

Almost surely, 2^90220416 is an apocalyptic number.

90220416 is a gapful number since it is divisible by the number (96) 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 90220416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148055040).

90220416 is an abundant number, since it is smaller than the sum of its proper divisors (205889664).

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

90220416 is a wasteful number, since it uses less digits than its factorization.

90220416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 90220416 is about 9498.4428197468. The cubic root of 90220416 is about 448.5060183704.

The spelling of 90220416 in words is "ninety million, two hundred twenty thousand, four hundred sixteen".