36206976 has 64 divisors (see below), whose sum is σ = 103587120. Its totient is φ = 11139072.

The previous prime is 36206969. The next prime is 36206983. The reversal of 36206976 is 67960263.

It is an interprime number because it is at equal distance from previous prime (36206969) and next prime (36206983).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×36206976² = 2621890222129152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1366 + ... + 8618.

Almost surely, 2^36206976 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 36206976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51793560).

36206976 is an abundant number, since it is smaller than the sum of its proper divisors (67380144).

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

36206976 is a wasteful number, since it uses less digits than its factorization.

36206976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7283 (or 7271 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 36206976 is about 6017.2232798858. The cubic root of 36206976 is about 330.8243120430.

The spelling of 36206976 in words is "thirty-six million, two hundred six thousand, nine hundred seventy-six".