36553140 has 192 divisors, whose sum is σ = 126443520. Its totient is φ = 8709120.

The previous prime is 36553109. The next prime is 36553147. The reversal of 36553140 is 4135563.

36553140 is a `hidden beast` number, since 3 + 655 + 3 + 1 + 4 + 0 = 666.

It is a super-2 number, since 2×36553140² = 2672264087719200, which contains 22 as substring.

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 (36553147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287757 + ... + 287883.

It is an arithmetic number, because the mean of its divisors is an integer number (658560).

Almost surely, 2^36553140 is an apocalyptic number.

36553140 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 36553140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63221760).

36553140 is an abundant number, since it is smaller than the sum of its proper divisors (89890380).

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

36553140 is a wasteful number, since it uses less digits than its factorization.

36553140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 36553140 is about 6045.9192849392. The cubic root of 36553140 is about 331.8752737078.

The spelling of 36553140 in words is "thirty-six million, five hundred fifty-three thousand, one hundred forty".