36879120 has 240 divisors, whose sum is σ = 137884032. Its totient is φ = 8785920.

The previous prime is 36879113. The next prime is 36879127. The reversal of 36879120 is 2197863.

It is an interprime number because it is at equal distance from previous prime (36879113) and next prime (36879127).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (36879127) by changing a digit.

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, 281455 + ... + 281585.

Almost surely, 2^36879120 is an apocalyptic number.

36879120 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 36879120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68942016).

36879120 is an abundant number, since it is smaller than the sum of its proper divisors (101004912).

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

36879120 is a wasteful number, since it uses less digits than its factorization.

36879120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 36879120 is about 6072.8181267020. The cubic root of 36879120 is about 332.8589073024.

The spelling of 36879120 in words is "thirty-six million, eight hundred seventy-nine thousand, one hundred twenty".