36787456 has 72 divisors (see below), whose sum is σ = 79470720. Its totient is φ = 16932864.

The previous prime is 36787451. The next prime is 36787469. The reversal of 36787456 is 65478763.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36787451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 343755 + ... + 343861.

It is an arithmetic number, because the mean of its divisors is an integer number (1103760).

Almost surely, 2^36787456 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 36787456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39735360).

36787456 is an abundant number, since it is smaller than the sum of its proper divisors (42683264).

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

36787456 is a wasteful number, since it uses less digits than its factorization.

36787456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 205 counting only the distinct ones).

The product of its digits is 846720, while the sum is 46.

The square root of 36787456 is about 6065.2663585369. The cubic root of 36787456 is about 332.5829020487.

The spelling of 36787456 in words is "thirty-six million, seven hundred eighty-seven thousand, four hundred fifty-six".