90921600 has 576 divisors, whose sum is σ = 414348480. Its totient is φ = 18432000.

The previous prime is 90921581. The next prime is 90921601. The reversal of 90921600 is 612909.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (90921601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2217580 + ... + 2217620.

It is an arithmetic number, because the mean of its divisors is an integer number (719355).

Almost surely, 2^90921600 is an apocalyptic number.

90921600 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 90921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207174240).

90921600 is an abundant number, since it is smaller than the sum of its proper divisors (323426880).

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

90921600 is a wasteful number, since it uses less digits than its factorization.

90921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 90921600 is about 9535.2818521531. The cubic root of 90921600 is about 449.6649357626.

The spelling of 90921600 in words is "ninety million, nine hundred twenty-one thousand, six hundred".