90761680170 has 160 divisors (see below), whose sum is σ = 279224896896. Its totient is φ = 20722262400.

The previous prime is 90761680169. The next prime is 90761680193. The reversal of 90761680170 is 7108616709.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5326965 + ... + 5343975.

Almost surely, 2^90761680170 is an apocalyptic number.

90761680170 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90761680170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139612448448).

90761680170 is an abundant number, since it is smaller than the sum of its proper divisors (188463216726).

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

90761680170 is a wasteful number, since it uses less digits than its factorization.

90761680170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17978 (or 17969 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 90761680170 in words is "ninety billion, seven hundred sixty-one million, six hundred eighty thousand, one hundred seventy".