90147520 has 56 divisors (see below), whose sum is σ = 219931488. Its totient is φ = 35174400.

The previous prime is 90147517. The next prime is 90147523. The reversal of 90147520 is 2574109.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90147517) and next prime (90147523).

It is not an unprimeable number, because it can be changed into a prime (90147523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9685 + ... + 16555.

It is an arithmetic number, because the mean of its divisors is an integer number (3927348).

Almost surely, 2^90147520 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 90147520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109965744).

90147520 is an abundant number, since it is smaller than the sum of its proper divisors (129783968).

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

90147520 is a wasteful number, since it uses less digits than its factorization.

90147520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6929 (or 6919 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 90147520 is about 9494.6047837706. The cubic root of 90147520 is about 448.3851916754.

The spelling of 90147520 in words is "ninety million, one hundred forty-seven thousand, five hundred twenty".