36386640 has 120 divisors (see below), whose sum is σ = 123695208. Its totient is φ = 9584640.

The previous prime is 36386617. The next prime is 36386641. The reversal of 36386640 is 4668363.

36386640 is a `hidden beast` number, since 3 + 6 + 3 + 8 + 6 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1245456 + 35141184 = 1116^2 + 5928^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 36386595 and 36386604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36386641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69580 + ... + 70100.

Almost surely, 2^36386640 is an apocalyptic number.

36386640 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 36386640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61847604).

36386640 is an abundant number, since it is smaller than the sum of its proper divisors (87308568).

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

36386640 is a wasteful number, since it uses less digits than its factorization.

36386640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 36386640 is about 6032.1339507673. The cubic root of 36386640 is about 331.3706080334.

The spelling of 36386640 in words is "thirty-six million, three hundred eighty-six thousand, six hundred forty".