36633090 has 128 divisors (see below), whose sum is σ = 101606400. Its totient is φ = 8386560.

The previous prime is 36633067. The next prime is 36633101. The reversal of 36633090 is 9033663.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 463671 + ... + 463749.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 2^36633090 is an apocalyptic number.

36633090 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 36633090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50803200).

36633090 is an abundant number, since it is smaller than the sum of its proper divisors (64973310).

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

36633090 is a wasteful number, since it uses less digits than its factorization.

36633090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172.

The product of its (nonzero) digits is 8748, while the sum is 30.

The square root of 36633090 is about 6052.5275711888. The cubic root of 36633090 is about 332.1170596550.

The spelling of 36633090 in words is "thirty-six million, six hundred thirty-three thousand, ninety".