36251160 has 128 divisors (see below), whose sum is σ = 122860800. Its totient is φ = 8476160.

The previous prime is 36251129. The next prime is 36251161. The reversal of 36251160 is 6115263.

36251160 = T₄₃₉ + T₄₄₀ + ... + T₆₇₀.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 36251160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36251161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37807 + ... + 38753.

It is an arithmetic number, because the mean of its divisors is an integer number (959850).

Almost surely, 2^36251160 is an apocalyptic number.

36251160 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 36251160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61430400).

36251160 is an abundant number, since it is smaller than the sum of its proper divisors (86609640).

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

36251160 is a wasteful number, since it uses less digits than its factorization.

36251160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 36251160 is about 6020.8936213821. The cubic root of 36251160 is about 330.9588275535.

The spelling of 36251160 in words is "thirty-six million, two hundred fifty-one thousand, one hundred sixty".