36893040 has 80 divisors (see below), whose sum is σ = 114956928. Its totient is φ = 9787648.

The previous prime is 36893039. The next prime is 36893053. The reversal of 36893040 is 4039863.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×36893040² = 2722192800883200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36892992 and 36893010.

It is a congruent number.

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, 83059 + ... + 83501.

Almost surely, 2^36893040 is an apocalyptic number.

36893040 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 36893040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57478464).

36893040 is an abundant number, since it is smaller than the sum of its proper divisors (78063888).

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

36893040 is a wasteful number, since it uses less digits than its factorization.

36893040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 36893040 is about 6073.9641092124. The cubic root of 36893040 is about 332.9007811609.

The spelling of 36893040 in words is "thirty-six million, eight hundred ninety-three thousand, forty".