36877860 has 144 divisors (see below), whose sum is σ = 121080960. Its totient is φ = 9054720.

The previous prime is 36877847. The next prime is 36877873. The reversal of 36877860 is 6877863.

It is an interprime number because it is at equal distance from previous prime (36877847) and next prime (36877873).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140089 + ... + 140351.

It is an arithmetic number, because the mean of its divisors is an integer number (840840).

Almost surely, 2^36877860 is an apocalyptic number.

36877860 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 36877860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60540480).

36877860 is an abundant number, since it is smaller than the sum of its proper divisors (84203100).

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

36877860 is a wasteful number, since it uses less digits than its factorization.

36877860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 36877860 is about 6072.7143848530. The cubic root of 36877860 is about 332.8551164762.

The spelling of 36877860 in words is "thirty-six million, eight hundred seventy-seven thousand, eight hundred sixty".