36840564 has 54 divisors (see below), whose sum is σ = 98952854. Its totient is φ = 11554560.

The previous prime is 36840539. The next prime is 36840569. The reversal of 36840564 is 46504863.

It can be written as a sum of positive squares in 3 ways, for example, as 13395600 + 23444964 = 3660^2 + 4842^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36840569) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8634 + ... + 12174.

Almost surely, 2^36840564 is an apocalyptic number.

36840564 is a gapful number since it is divisible by the number (34) 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 36840564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49476427).

36840564 is an abundant number, since it is smaller than the sum of its proper divisors (62112290).

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

36840564 is a wasteful number, since it uses less digits than its factorization.

36840564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3585 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 36840564 is about 6069.6428230992. The cubic root of 36840564 is about 332.7428688951.

The spelling of 36840564 in words is "thirty-six million, eight hundred forty thousand, five hundred sixty-four".