90148864 has 52 divisors (see below), whose sum is σ = 194257756. Its totient is φ = 41582592.

The previous prime is 90148831. The next prime is 90148871. The reversal of 90148864 is 46884109.

It can be written as a sum of positive squares in 2 ways, for example, as 23040000 + 67108864 = 4800^2 + 8192^2 .

It is a tau number, because it is divible by the number of its divisors (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52402 + ... + 54094.

Almost surely, 2^90148864 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 90148864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97128878).

90148864 is an abundant number, since it is smaller than the sum of its proper divisors (104108892).

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

90148864 is a wasteful number, since it uses less digits than its factorization.

90148864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 90148864 is about 9494.6755605444. The cubic root of 90148864 is about 448.3874199737.

The spelling of 90148864 in words is "ninety million, one hundred forty-eight thousand, eight hundred sixty-four".