36305820 has 120 divisors (see below), whose sum is σ = 115828944. Its totient is φ = 9517824.

The previous prime is 36305791. The next prime is 36305821. The reversal of 36305820 is 2850363.

36305820 is a `hidden beast` number, since 3 + 630 + 5 + 8 + 20 = 666.

It is a super-2 number, since 2×36305820² = 2636225131744800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36305821) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 118107 + ... + 118413.

Almost surely, 2^36305820 is an apocalyptic number.

36305820 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 36305820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57914472).

36305820 is an abundant number, since it is smaller than the sum of its proper divisors (79523124).

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

36305820 is a wasteful number, since it uses less digits than its factorization.

36305820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 36305820 is about 6025.4311049086. The cubic root of 36305820 is about 331.1250854507.

The spelling of 36305820 in words is "thirty-six million, three hundred five thousand, eight hundred twenty".