36622080 has 324 divisors, whose sum is σ = 146836872. Its totient is φ = 8355840.

The previous prime is 36622073. The next prime is 36622121. The reversal of 36622080 is 8022663.

36622080 is a `hidden beast` number, since 36 + 622 + 0 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2154232 + ... + 2154248.

Almost surely, 2^36622080 is an apocalyptic number.

36622080 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 36622080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73418436).

36622080 is an abundant number, since it is smaller than the sum of its proper divisors (110214792).

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

36622080 is a wasteful number, since it uses less digits than its factorization.

36622080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 36622080 is about 6051.6179654701. The cubic root of 36622080 is about 332.0837839543.

The spelling of 36622080 in words is "thirty-six million, six hundred twenty-two thousand, eighty".