90617856 has 192 divisors, whose sum is σ = 288288000. Its totient is φ = 25288704.

The previous prime is 90617851. The next prime is 90617887. The reversal of 90617856 is 65871609.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90617851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2107371 + ... + 2107413.

It is an arithmetic number, because the mean of its divisors is an integer number (1501500).

Almost surely, 2^90617856 is an apocalyptic number.

90617856 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 90617856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144144000).

90617856 is an abundant number, since it is smaller than the sum of its proper divisors (197670144).

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

90617856 is an equidigital number, since it uses as much as digits as its factorization.

90617856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 90617856 is about 9519.3411536723. The cubic root of 90617856 is about 449.1636415905.

The spelling of 90617856 in words is "ninety million, six hundred seventeen thousand, eight hundred fifty-six".