36981120 has 256 divisors, whose sum is σ = 137479680. Its totient is φ = 8355840.

The previous prime is 36981107. The next prime is 36981149. The reversal of 36981120 is 2118963.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358989 + ... + 359091.

It is an arithmetic number, because the mean of its divisors is an integer number (537030).

Almost surely, 2^36981120 is an apocalyptic number.

36981120 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 36981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68739840).

36981120 is an abundant number, since it is smaller than the sum of its proper divisors (100498560).

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

36981120 is a wasteful number, since it uses less digits than its factorization.

36981120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 36981120 is about 6081.2104058320. The cubic root of 36981120 is about 333.1654977300.

The spelling of 36981120 in words is "thirty-six million, nine hundred eighty-one thousand, one hundred twenty".