90945648 has 120 divisors (see below), whose sum is σ = 272982528. Its totient is φ = 28164096.

The previous prime is 90945623. The next prime is 90945689. The reversal of 90945648 is 84654909.

It is a happy number.

It is a super-2 number, since 2×90945648² = 16542221780279808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237265 + ... + 237647.

Almost surely, 2^90945648 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 90945648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136491264).

90945648 is an abundant number, since it is smaller than the sum of its proper divisors (182036880).

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

90945648 is a wasteful number, since it uses less digits than its factorization.

90945648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 502 counting only the distinct ones).

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

The square root of 90945648 is about 9536.5427697882. The cubic root of 90945648 is about 449.7045764682.

The spelling of 90945648 in words is "ninety million, nine hundred forty-five thousand, six hundred forty-eight".