36878160 has 160 divisors (see below), whose sum is σ = 127313280. Its totient is φ = 8755200.

The previous prime is 36878143. The next prime is 36878161. The reversal of 36878160 is 6187863.

36878160 = T₅₆ + T₅₇ + ... + T₆₀₄.

36878160 is nontrivially palindromic in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36878161) 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, 160926 + ... + 161154.

It is an arithmetic number, because the mean of its divisors is an integer number (795708).

Almost surely, 2^36878160 is an apocalyptic number.

36878160 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 36878160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63656640).

36878160 is an abundant number, since it is smaller than the sum of its proper divisors (90435120).

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

36878160 is a wasteful number, since it uses less digits than its factorization.

36878160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 36878160 is about 6072.7390854539. The cubic root of 36878160 is about 332.8560190617.

The spelling of 36878160 in words is "thirty-six million, eight hundred seventy-eight thousand, one hundred sixty".