36566640 has 320 divisors, whose sum is σ = 146419200. Its totient is φ = 8398080.

The previous prime is 36566627. The next prime is 36566653. The reversal of 36566640 is 4666563.

It is an interprime number because it is at equal distance from previous prime (36566627) and next prime (36566653).

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

It is a junction number, because it is equal to n+sod(n) for n = 36566595 and 36566604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1924551 + ... + 1924569.

It is an arithmetic number, because the mean of its divisors is an integer number (457560).

Almost surely, 2^36566640 is an apocalyptic number.

36566640 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 36566640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73209600).

36566640 is an abundant number, since it is smaller than the sum of its proper divisors (109852560).

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

36566640 is a wasteful number, since it uses less digits than its factorization.

36566640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 36566640 is about 6047.0356374012. The cubic root of 36566640 is about 331.9161253259.

It can be divided in two parts, 3656 and 6640, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 36566640 in words is "thirty-six million, five hundred sixty-six thousand, six hundred forty".