36814080 has 72 divisors (see below), whose sum is σ = 117587232. Its totient is φ = 9816064.

The previous prime is 36814073. The next prime is 36814087. The reversal of 36814080 is 8041863.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36814073) and next prime (36814087).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36814087) 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, 954 + ... + 8633.

It is an arithmetic number, because the mean of its divisors is an integer number (1633156).

Almost surely, 2^36814080 is an apocalyptic number.

36814080 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 36814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58793616).

36814080 is an abundant number, since it is smaller than the sum of its proper divisors (80773152).

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

36814080 is an equidigital number, since it uses as much as digits as its factorization.

36814080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9611 (or 9597 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 36814080 is about 6067.4607538904. The cubic root of 36814080 is about 332.6631155498.

The spelling of 36814080 in words is "thirty-six million, eight hundred fourteen thousand, eighty".