36513820 has 144 divisors (see below), whose sum is σ = 98249760. Its totient is φ = 11321856.

The previous prime is 36513817. The next prime is 36513847. The reversal of 36513820 is 2831563.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 688914 + ... + 688966.

It is an arithmetic number, because the mean of its divisors is an integer number (682290).

Almost surely, 2^36513820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36513820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49124880).

36513820 is an abundant number, since it is smaller than the sum of its proper divisors (61735940).

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

36513820 is a wasteful number, since it uses less digits than its factorization.

36513820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 36513820 is about 6042.6666298911. Note that the first 4 decimals coincide. The cubic root of 36513820 is about 331.7562322466.

The spelling of 36513820 in words is "thirty-six million, five hundred thirteen thousand, eight hundred twenty".