90152088 has 128 divisors (see below), whose sum is σ = 268531200. Its totient is φ = 24938496.

The previous prime is 90152087. The next prime is 90152107. The reversal of 90152088 is 88025109.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90152087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121623 + ... + 122361.

It is an arithmetic number, because the mean of its divisors is an integer number (2097900).

Almost surely, 2^90152088 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 90152088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134265600).

90152088 is an abundant number, since it is smaller than the sum of its proper divisors (178379112).

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

90152088 is a wasteful number, since it uses less digits than its factorization.

90152088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 90152088 is about 9494.8453383928. The cubic root of 90152088 is about 448.3927651466.

The spelling of 90152088 in words is "ninety million, one hundred fifty-two thousand, eighty-eight".