36210564 has 60 divisors (see below), whose sum is σ = 101955084. Its totient is φ = 11140416.

The previous prime is 36210557. The next prime is 36210571. The reversal of 36210564 is 46501263.

It is an interprime number because it is at equal distance from previous prime (36210557) and next prime (36210571).

It can be written as a sum of positive squares in 2 ways, for example, as 14976900 + 21233664 = 3870^2 + 4608^2 .

It is a super-2 number, since 2×36210564² = 2622409890396192, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 87 + ... + 8510.

Almost surely, 2^36210564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36210564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50977542).

36210564 is an abundant number, since it is smaller than the sum of its proper divisors (65744520).

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

36210564 is a wasteful number, since it uses less digits than its factorization.

36210564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8626 (or 8615 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 36210564 is about 6017.5214166632. The cubic root of 36210564 is about 330.8352395728.

The spelling of 36210564 in words is "thirty-six million, two hundred ten thousand, five hundred sixty-four".