90887940 has 288 divisors, whose sum is σ = 337841280. Its totient is φ = 20148480.

The previous prime is 90887911. The next prime is 90887971. The reversal of 90887940 is 4978809.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 849367 + ... + 849473.

It is an arithmetic number, because the mean of its divisors is an integer number (1173060).

Almost surely, 2^90887940 is an apocalyptic number.

90887940 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90887940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168920640).

90887940 is an abundant number, since it is smaller than the sum of its proper divisors (246953340).

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

90887940 is a wasteful number, since it uses less digits than its factorization.

90887940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 90887940 is about 9533.5166649039. The cubic root of 90887940 is about 449.6094389026.

The spelling of 90887940 in words is "ninety million, eight hundred eighty-seven thousand, nine hundred forty".