90840964160 has 56 divisors (see below), whose sum is σ = 223774208280. Its totient is φ = 35083403264.

The previous prime is 90840964133. The next prime is 90840964171. The reversal of 90840964160 is 6146904809.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4865341504 + 85975622656 = 69752^2 + 293216^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4885169 + ... + 4903728.

It is an arithmetic number, because the mean of its divisors is an integer number (3995968005).

Almost surely, 2^90840964160 is an apocalyptic number.

It is an amenable number.

90840964160 is an abundant number, since it is smaller than the sum of its proper divisors (132933244120).

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

90840964160 is a wasteful number, since it uses less digits than its factorization.

90840964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9788943 (or 9788933 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 47.

The spelling of 90840964160 in words is "ninety billion, eight hundred forty million, nine hundred sixty-four thousand, one hundred sixty".