90963360 has 144 divisors (see below), whose sum is σ = 313021800. Its totient is φ = 24053760.

The previous prime is 90963349. The next prime is 90963403. The reversal of 90963360 is 6336909.

It can be written as a sum of positive squares in 4 ways, for example, as 54819216 + 36144144 = 7404^2 + 6012^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260466 + ... + 260814.

Almost surely, 2^90963360 is an apocalyptic number.

90963360 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 90963360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156510900).

90963360 is an abundant number, since it is smaller than the sum of its proper divisors (222058440).

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

90963360 is a wasteful number, since it uses less digits than its factorization.

90963360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 90963360 is about 9537.4713629976. The cubic root of 90963360 is about 449.7337684476.

The spelling of 90963360 in words is "ninety million, nine hundred sixty-three thousand, three hundred sixty".