90291456 has 72 divisors (see below), whose sum is σ = 267028160. Its totient is φ = 30094848.

The previous prime is 90291419. The next prime is 90291457. The reversal of 90291456 is 65419209.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 90291456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90291457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381 + ... + 13443.

Almost surely, 2^90291456 is an apocalyptic number.

90291456 is a gapful number since it is divisible by the number (96) 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 90291456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133514080).

90291456 is an abundant number, since it is smaller than the sum of its proper divisors (176736704).

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

90291456 is a wasteful number, since it uses less digits than its factorization.

90291456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13088 (or 13068 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 90291456 is about 9502.1816442331. The cubic root of 90291456 is about 448.6237061026.

The spelling of 90291456 in words is "ninety million, two hundred ninety-one thousand, four hundred fifty-six".