90345880 has 48 divisors (see below), whose sum is σ = 207005760. Its totient is φ = 35487360.

The previous prime is 90345877. The next prime is 90345907. The reversal of 90345880 is 8854309.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148537 + ... + 149143.

It is an arithmetic number, because the mean of its divisors is an integer number (4312620).

Almost surely, 2^90345880 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 90345880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103502880).

90345880 is an abundant number, since it is smaller than the sum of its proper divisors (116659880).

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

90345880 is a wasteful number, since it uses less digits than its factorization.

90345880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 90345880 is about 9505.0449762218. The cubic root of 90345880 is about 448.7138253441.

The spelling of 90345880 in words is "ninety million, three hundred forty-five thousand, eight hundred eighty".