36930816 has 180 divisors, whose sum is σ = 119457492. Its totient is φ = 11280384.

The previous prime is 36930811. The next prime is 36930821. The reversal of 36930816 is 61803963.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36930811) and next prime (36930821).

It can be written as a sum of positive squares in 2 ways, for example, as 12960000 + 23970816 = 3600^2 + 4896^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36930811) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 269500 + ... + 269636.

Almost surely, 2^36930816 is an apocalyptic number.

36930816 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 36930816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59728746).

36930816 is an abundant number, since it is smaller than the sum of its proper divisors (82526676).

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

36930816 is a wasteful number, since it uses less digits than its factorization.

36930816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 36930816 is about 6077.0729796506. The cubic root of 36930816 is about 333.0143650974.

The spelling of 36930816 in words is "thirty-six million, nine hundred thirty thousand, eight hundred sixteen".