36900090 has 64 divisors (see below), whose sum is σ = 103593600. Its totient is φ = 9320832.

The previous prime is 36900089. The next prime is 36900107. The reversal of 36900090 is 9000963.

36900090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 31 ways as a sum of consecutive naturals, for example, 1534 + ... + 8726.

It is an arithmetic number, because the mean of its divisors is an integer number (1618650).

Almost surely, 2^36900090 is an apocalyptic number.

36900090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36900090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51796800).

36900090 is an abundant number, since it is smaller than the sum of its proper divisors (66693510).

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

36900090 is a wasteful number, since it uses less digits than its factorization.

36900090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7228 (or 7222 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 36900090 is about 6074.5444273624. The cubic root of 36900090 is about 332.9219848082.

The spelling of 36900090 in words is "thirty-six million, nine hundred thousand, ninety".