90190464 has 256 divisors, whose sum is σ = 308448000. Its totient is φ = 22708224.

The previous prime is 90190453. The next prime is 90190489. The reversal of 90190464 is 46409109.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1013332 + ... + 1013420.

It is an arithmetic number, because the mean of its divisors is an integer number (1204875).

Almost surely, 2^90190464 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 90190464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154224000).

90190464 is an abundant number, since it is smaller than the sum of its proper divisors (218257536).

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

90190464 is a wasteful number, since it uses less digits than its factorization.

90190464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 90190464 is about 9496.8660093738. The cubic root of 90190464 is about 448.4563801631.

The spelling of 90190464 in words is "ninety million, one hundred ninety thousand, four hundred sixty-four".