90313416 has 96 divisors (see below), whose sum is σ = 258635520. Its totient is φ = 28425600.

The previous prime is 90313409. The next prime is 90313417. The reversal of 90313416 is 61431309.

It is a self number, because there is not a number n which added to its sum of digits gives 90313416.

It is not an unprimeable number, because it can be changed into a prime (90313417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95506 + ... + 96446.

It is an arithmetic number, because the mean of its divisors is an integer number (2694120).

Almost surely, 2^90313416 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 90313416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129317760).

90313416 is an abundant number, since it is smaller than the sum of its proper divisors (168322104).

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

90313416 is a wasteful number, since it uses less digits than its factorization.

90313416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 90313416 is about 9503.3370980935. The cubic root of 90313416 is about 448.6600734344.

The spelling of 90313416 in words is "ninety million, three hundred thirteen thousand, four hundred sixteen".