36905760 has 96 divisors (see below), whose sum is σ = 129185280. Its totient is φ = 9840384.

The previous prime is 36905753. The next prime is 36905767. The reversal of 36905760 is 6750963.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36905753) and next prime (36905767).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (36905767) 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, 49 + ... + 8591.

It is an arithmetic number, because the mean of its divisors is an integer number (1345680).

Almost surely, 2^36905760 is an apocalyptic number.

36905760 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 36905760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64592640).

36905760 is an abundant number, since it is smaller than the sum of its proper divisors (92279520).

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

36905760 is a wasteful number, since it uses less digits than its factorization.

36905760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8567 (or 8553 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 36905760 is about 6075.0111111010. The cubic root of 36905760 is about 332.9390359950.

The spelling of 36905760 in words is "thirty-six million, nine hundred five thousand, seven hundred sixty".