90096840 has 64 divisors (see below), whose sum is σ = 300326400. Its totient is φ = 24025536.

The previous prime is 90096781. The next prime is 90096847. The reversal of 90096840 is 4869009.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 90096795 and 90096804.

It is not an unprimeable number, because it can be changed into a prime (90096847) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 40632 + ... + 42791.

It is an arithmetic number, because the mean of its divisors is an integer number (4692600).

Almost surely, 2^90096840 is an apocalyptic number.

90096840 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90096840 is an abundant number, since it is smaller than the sum of its proper divisors (210229560).

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

90096840 is a wasteful number, since it uses less digits than its factorization.

90096840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83443 (or 83433 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 90096840 is about 9491.9355244334. The cubic root of 90096840 is about 448.3011500908.

The spelling of 90096840 in words is "ninety million, ninety-six thousand, eight hundred forty".