90984960 has 240 divisors, whose sum is σ = 344710080. Its totient is φ = 21995520.

The previous prime is 90984931. The next prime is 90985007. The reversal of 90984960 is 6948909.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 253261 + ... + 253619.

It is an arithmetic number, because the mean of its divisors is an integer number (1436292).

Almost surely, 2^90984960 is an apocalyptic number.

90984960 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 90984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172355040).

90984960 is an abundant number, since it is smaller than the sum of its proper divisors (253725120).

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

90984960 is a wasteful number, since it uses less digits than its factorization.

90984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 90984960 is about 9538.6036713976. The cubic root of 90984960 is about 449.7693632944.

It can be divided in two parts, 909849 and 60, that added together give a palindrome (909909).

The spelling of 90984960 in words is "ninety million, nine hundred eighty-four thousand, nine hundred sixty".