90616320 has 400 divisors, whose sum is σ = 356495040. Its totient is φ = 21897216.

The previous prime is 90616319. The next prime is 90616327. The reversal of 90616320 is 2361609.

It is a happy number.

It is a super-2 number, since 2×90616320² = 16422634900684800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90616327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3939829 + ... + 3939851.

Almost surely, 2^90616320 is an apocalyptic number.

90616320 is a gapful number since it is divisible by the number (90) 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 90616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178247520).

90616320 is an abundant number, since it is smaller than the sum of its proper divisors (265878720).

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

90616320 is a wasteful number, since it uses less digits than its factorization.

90616320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 52 counting only the distinct ones).

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

The square root of 90616320 is about 9519.2604754781. The cubic root of 90616320 is about 449.1611037565.

Adding to 90616320 its reverse (2361609), we get a palindrome (92977929).

The spelling of 90616320 in words is "ninety million, six hundred sixteen thousand, three hundred twenty".