36445920 has 96 divisors (see below), whose sum is σ = 131217408. Its totient is φ = 8329728.

The previous prime is 36445919. The next prime is 36445921. The reversal of 36445920 is 2954463.

It is an interprime number because it is at equal distance from previous prime (36445919) and next prime (36445921).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36445921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2064 + ... + 8783.

It is an arithmetic number, because the mean of its divisors is an integer number (1366848).

Almost surely, 2^36445920 is an apocalyptic number.

36445920 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 36445920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65608704).

36445920 is an abundant number, since it is smaller than the sum of its proper divisors (94771488).

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

36445920 is a wasteful number, since it uses less digits than its factorization.

36445920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10872 (or 10864 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 36445920 is about 6037.0456350768. The cubic root of 36445920 is about 331.5504633473.

The spelling of 36445920 in words is "thirty-six million, four hundred forty-five thousand, nine hundred twenty".