90895464 has 192 divisors, whose sum is σ = 292818240. Its totient is φ = 25159680.

The previous prime is 90895457. The next prime is 90895501. The reversal of 90895464 is 46459809.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 578874 + ... + 579030.

It is an arithmetic number, because the mean of its divisors is an integer number (1525095).

Almost surely, 2^90895464 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 90895464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146409120).

90895464 is an abundant number, since it is smaller than the sum of its proper divisors (201922776).

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

90895464 is a wasteful number, since it uses less digits than its factorization.

90895464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 90895464 is about 9533.9112645336. The cubic root of 90895464 is about 449.6218452720.

The spelling of 90895464 in words is "ninety million, eight hundred ninety-five thousand, four hundred sixty-four".