90812000 has 96 divisors (see below), whose sum is σ = 226908864. Its totient is φ = 35712000.

The previous prime is 90811999. The next prime is 90812003. The reversal of 90812000 is 21809.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90812003) 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, 291845 + ... + 292155.

It is an arithmetic number, because the mean of its divisors is an integer number (2363634).

Almost surely, 2^90812000 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 90812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113454432).

90812000 is an abundant number, since it is smaller than the sum of its proper divisors (136096864).

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

90812000 is a wasteful number, since it uses less digits than its factorization.

90812000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 90812000 is about 9529.5330420750. The cubic root of 90812000 is about 449.4841826272.

Adding to 90812000 its reverse (21809), we get a palindrome (90833809).

The spelling of 90812000 in words is "ninety million, eight hundred twelve thousand".