90498560 has 160 divisors (see below), whose sum is σ = 238645440. Its totient is φ = 32800768.

The previous prime is 90498557. The next prime is 90498571. The reversal of 90498560 is 6589409.

90498560 = T₂₉₉ + T₃₀₀ + ... + T₈₂₈.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1707494 + ... + 1707546.

It is an arithmetic number, because the mean of its divisors is an integer number (1491534).

Almost surely, 2^90498560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90498560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119322720).

90498560 is an abundant number, since it is smaller than the sum of its proper divisors (148146880).

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

90498560 is a wasteful number, since it uses less digits than its factorization.

90498560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 90498560 is about 9513.0731101995. The cubic root of 90498560 is about 448.9664510327.

The spelling of 90498560 in words is "ninety million, four hundred ninety-eight thousand, five hundred sixty".