90819456 has 256 divisors, whose sum is σ = 312560640. Its totient is φ = 22708224.

The previous prime is 90819401. The next prime is 90819499. The reversal of 90819456 is 65491809.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 803656 + ... + 803768.

It is an arithmetic number, because the mean of its divisors is an integer number (1220940).

Almost surely, 2^90819456 is an apocalyptic number.

90819456 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 90819456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156280320).

90819456 is an abundant number, since it is smaller than the sum of its proper divisors (221741184).

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

90819456 is a wasteful number, since it uses less digits than its factorization.

90819456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 90819456 is about 9529.9242389434. The cubic root of 90819456 is about 449.4964837267.

The spelling of 90819456 in words is "ninety million, eight hundred nineteen thousand, four hundred fifty-six".