90963600 has 480 divisors, whose sum is σ = 387475200. Its totient is φ = 18063360.

The previous prime is 90963599. The next prime is 90963611. The reversal of 90963600 is 636909.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5350792 + ... + 5350808.

It is an arithmetic number, because the mean of its divisors is an integer number (807240).

Almost surely, 2^90963600 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 90963600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193737600).

90963600 is an abundant number, since it is smaller than the sum of its proper divisors (296511600).

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

90963600 is a wasteful number, since it uses less digits than its factorization.

90963600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 90963600 is about 9537.4839449406. The cubic root of 90963600 is about 449.7341639768.

The spelling of 90963600 in words is "ninety million, nine hundred sixty-three thousand, six hundred".