36051960 has 128 divisors (see below), whose sum is σ = 124830720. Its totient is φ = 8159232.

The previous prime is 36051929. The next prime is 36051973. The reversal of 36051960 is 6915063.

It is a happy number.

36051960 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 (30).

It is a congruent number.

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, 140152 + ... + 140408.

It is an arithmetic number, because the mean of its divisors is an integer number (975240).

Almost surely, 2^36051960 is an apocalyptic number.

36051960 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 36051960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62415360).

36051960 is an abundant number, since it is smaller than the sum of its proper divisors (88778760).

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

36051960 is a wasteful number, since it uses less digits than its factorization.

36051960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 36051960 is about 6004.3284387182. The cubic root of 36051960 is about 330.3515079104.

It can be divided in two parts, 3605 and 1960, that added together give a triangular number (5565 = T₁₀₅).

The spelling of 36051960 in words is "thirty-six million, fifty-one thousand, nine hundred sixty".