90963072 has 72 divisors (see below), whose sum is σ = 262690545. Its totient is φ = 30213120.

The previous prime is 90963043. The next prime is 90963077. The reversal of 90963072 is 27036909.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 88059456 + 2903616 = 9384^2 + 1704^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6744.

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (90963077) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 323572 + ... + 323852.

Almost surely, 2^90963072 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 90963072

90963072 is an abundant number, since it is smaller than the sum of its proper divisors (171727473).

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

90963072 is an equidigital number, since it uses as much as digits as its factorization.

90963072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 90963072 is about 9537.4562646442. The cubic root of 90963072 is about 449.7332938115.

The spelling of 90963072 in words is "ninety million, nine hundred sixty-three thousand, seventy-two".