36045240 has 256 divisors, whose sum is σ = 139345920. Its totient is φ = 7242240.

The previous prime is 36045239. The next prime is 36045241. The reversal of 36045240 is 4254063.

It is an interprime number because it is at equal distance from previous prime (36045239) and next prime (36045241).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 36045240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36045241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 434239 + ... + 434321.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 2^36045240 is an apocalyptic number.

36045240 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 36045240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69672960).

36045240 is an abundant number, since it is smaller than the sum of its proper divisors (103300680).

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

36045240 is a wasteful number, since it uses less digits than its factorization.

36045240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 36045240 is about 6003.7688163353. The cubic root of 36045240 is about 330.3309810553.

The spelling of 36045240 in words is "thirty-six million, forty-five thousand, two hundred forty".