90040680 has 128 divisors (see below), whose sum is σ = 302227200. Its totient is φ = 23844096.

The previous prime is 90040669. The next prime is 90040723. The reversal of 90040680 is 8604009.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283882 + ... + 284198.

It is an arithmetic number, because the mean of its divisors is an integer number (2361150).

Almost surely, 2^90040680 is an apocalyptic number.

90040680 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 90040680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151113600).

90040680 is an abundant number, since it is smaller than the sum of its proper divisors (212186520).

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

90040680 is a wasteful number, since it uses less digits than its factorization.

90040680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 90040680 is about 9488.9767625387. The cubic root of 90040680 is about 448.2079843168.

Adding to 90040680 its reverse (8604009), we get a palindrome (98644689).

The spelling of 90040680 in words is "ninety million, forty thousand, six hundred eighty".