36967056 has 80 divisors (see below), whose sum is σ = 109814400. Its totient is φ = 10497024.

The previous prime is 36967043. The next prime is 36967069. The reversal of 36967056 is 65076963.

It is an interprime number because it is at equal distance from previous prime (36967043) and next prime (36967069).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 36966999 and 36967017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90180 + ... + 90588.

It is an arithmetic number, because the mean of its divisors is an integer number (1372680).

Almost surely, 2^36967056 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 36967056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54907200).

36967056 is an abundant number, since it is smaller than the sum of its proper divisors (72847344).

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

36967056 is a wasteful number, since it uses less digits than its factorization.

36967056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The square root of 36967056 is about 6080.0539471291. The cubic root of 36967056 is about 333.1232578549.

The spelling of 36967056 in words is "thirty-six million, nine hundred sixty-seven thousand, fifty-six".