90876280 has 64 divisors (see below), whose sum is σ = 224246880. Its totient is φ = 32870400.

The previous prime is 90876229. The next prime is 90876281. The reversal of 90876280 is 8267809.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90876281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105612 + ... + 106468.

Almost surely, 2^90876280 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 90876280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112123440).

90876280 is an abundant number, since it is smaller than the sum of its proper divisors (133370600).

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

90876280 is a wasteful number, since it uses less digits than its factorization.

90876280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 90876280 is about 9532.9051185879. The cubic root of 90876280 is about 449.5902113048.

The spelling of 90876280 in words is "ninety million, eight hundred seventy-six thousand, two hundred eighty".