36999180 has 144 divisors (see below), whose sum is σ = 121814784. Its totient is φ = 9408960.

The previous prime is 36999173. The next prime is 36999181. The reversal of 36999180 is 8199963.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (36999181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111615 + ... + 111945.

It is an arithmetic number, because the mean of its divisors is an integer number (845936).

Almost surely, 2^36999180 is an apocalyptic number.

36999180 is a gapful number since it is divisible by the number (30) 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 36999180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60907392).

36999180 is an abundant number, since it is smaller than the sum of its proper divisors (84815604).

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

36999180 is a wasteful number, since it uses less digits than its factorization.

36999180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 36999180 is about 6082.6951263400. The cubic root of 36999180 is about 333.2197235050.

The spelling of 36999180 in words is "thirty-six million, nine hundred ninety-nine thousand, one hundred eighty".