36406656 has 288 divisors, whose sum is σ = 131035320. Its totient is φ = 9584640.

The previous prime is 36406651. The next prime is 36406663. The reversal of 36406656 is 65660463.

36406656 is a `hidden beast` number, since 3 + 640 + 6 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×36406656² = 2650889202204672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 36406656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36406651) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2141560 + ... + 2141576.

Almost surely, 2^36406656 is an apocalyptic number.

36406656 is a gapful number since it is divisible by the number (36) 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 36406656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65517660).

36406656 is an abundant number, since it is smaller than the sum of its proper divisors (94628664).

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

36406656 is a wasteful number, since it uses less digits than its factorization.

36406656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 46 counting only the distinct ones).

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

The square root of 36406656 is about 6033.7928370139. The cubic root of 36406656 is about 331.4313583368.

It can be divided in two parts, 3640 and 6656, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 36406656 in words is "thirty-six million, four hundred six thousand, six hundred fifty-six".