36152820 has 216 divisors, whose sum is σ = 130122720. Its totient is φ = 8035200.

The previous prime is 36152819. The next prime is 36152833. The reversal of 36152820 is 2825163.

36152820 is a `hidden beast` number, since 3 + 615 + 28 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1166205 + ... + 1166235.

It is an arithmetic number, because the mean of its divisors is an integer number (602420).

Almost surely, 2^36152820 is an apocalyptic number.

36152820 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 36152820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65061360).

36152820 is an abundant number, since it is smaller than the sum of its proper divisors (93969900).

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

36152820 is a wasteful number, since it uses less digits than its factorization.

36152820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 36152820 is about 6012.7215135910. The cubic root of 36152820 is about 330.6592880298.

Adding to 36152820 its reverse (2825163), we get a palindrome (38977983).

The spelling of 36152820 in words is "thirty-six million, one hundred fifty-two thousand, eight hundred twenty".