90413856 has 288 divisors, whose sum is σ = 308206080. Its totient is φ = 24883200.

The previous prime is 90413833. The next prime is 90413863. The reversal of 90413856 is 65831409.

It is a tau number, because it is divible by the number of its divisors (288).

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 90413856.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2205196 + ... + 2205236.

It is an arithmetic number, because the mean of its divisors is an integer number (1070160).

Almost surely, 2^90413856 is an apocalyptic number.

90413856 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 90413856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154103040).

90413856 is an abundant number, since it is smaller than the sum of its proper divisors (217792224).

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

90413856 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 13 representation: 90413856 = (15968430)₁₃.

90413856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 90413856 is about 9508.6200891612. The cubic root of 90413856 is about 448.8263341616.

The spelling of 90413856 in words is "ninety million, four hundred thirteen thousand, eight hundred fifty-six".