36121680 has 160 divisors (see below), whose sum is σ = 142252800. Its totient is φ = 8252928.

The previous prime is 36121669. The next prime is 36121681. The reversal of 36121680 is 8612163.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36121681) 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, 13926 + ... + 16314.

It is an arithmetic number, because the mean of its divisors is an integer number (889080).

Almost surely, 2^36121680 is an apocalyptic number.

36121680 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 36121680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71126400).

36121680 is an abundant number, since it is smaller than the sum of its proper divisors (106131120).

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

36121680 is a wasteful number, since it uses less digits than its factorization.

36121680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 36121680 is about 6010.1314461499. The cubic root of 36121680 is about 330.5643236721.

The spelling of 36121680 in words is "thirty-six million, one hundred twenty-one thousand, six hundred eighty".