36643140 has 144 divisors (see below), whose sum is σ = 118879488. Its totient is φ = 9115392.

The previous prime is 36643133. The next prime is 36643141. The reversal of 36643140 is 4134663.

36643140 is a `hidden beast` number, since 3 + 6 + 643 + 14 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (36643141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219337 + ... + 219503.

It is an arithmetic number, because the mean of its divisors is an integer number (825552).

Almost surely, 2^36643140 is an apocalyptic number.

36643140 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 36643140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59439744).

36643140 is an abundant number, since it is smaller than the sum of its proper divisors (82236348).

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

36643140 is a wasteful number, since it uses less digits than its factorization.

36643140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 36643140 is about 6053.3577459126. The cubic root of 36643140 is about 332.1474281121.

The spelling of 36643140 in words is "thirty-six million, six hundred forty-three thousand, one hundred forty".