36099720 has 96 divisors (see below), whose sum is σ = 118287000. Its totient is φ = 9547776.

The previous prime is 36099709. The next prime is 36099733. The reversal of 36099720 is 2799063.

It can be written as a sum of positive squares in 4 ways, for example, as 18610596 + 17489124 = 4314^2 + 4182^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 53304 + ... + 53976.

Almost surely, 2^36099720 is an apocalyptic number.

36099720 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 36099720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59143500).

36099720 is an abundant number, since it is smaller than the sum of its proper divisors (82187280).

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

36099720 is a wasteful number, since it uses less digits than its factorization.

36099720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 36099720 is about 6008.3042532815. The cubic root of 36099720 is about 330.4973217672.

The spelling of 36099720 in words is "thirty-six million, ninety-nine thousand, seven hundred twenty".