36532820 has 48 divisors (see below), whose sum is σ = 81500160. Its totient is φ = 13716864.

The previous prime is 36532817. The next prime is 36532829. The reversal of 36532820 is 2823563.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36532829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47882 + ... + 48638.

It is an arithmetic number, because the mean of its divisors is an integer number (1697920).

Almost surely, 2^36532820 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 36532820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40750080).

36532820 is an abundant number, since it is smaller than the sum of its proper divisors (44967340).

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

36532820 is a wasteful number, since it uses less digits than its factorization.

36532820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 36532820 is about 6044.2385790106. The cubic root of 36532820 is about 331.8137654894.

The spelling of 36532820 in words is "thirty-six million, five hundred thirty-two thousand, eight hundred twenty".