36525840 has 160 divisors (see below), whose sum is σ = 127491840. Its totient is φ = 8583168.

The previous prime is 36525833. The next prime is 36525859. The reversal of 36525840 is 4852563.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 71506 + ... + 72014.

It is an arithmetic number, because the mean of its divisors is an integer number (796824).

Almost surely, 2^36525840 is an apocalyptic number.

36525840 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 36525840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63745920).

36525840 is an abundant number, since it is smaller than the sum of its proper divisors (90966000).

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

36525840 is a wasteful number, since it uses less digits than its factorization.

36525840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 36525840 is about 6043.6611420562. The cubic root of 36525840 is about 331.7926319114.

The spelling of 36525840 in words is "thirty-six million, five hundred twenty-five thousand, eight hundred forty".