36545040 has 160 divisors (see below), whose sum is σ = 143919360. Its totient is φ = 8349696.

The previous prime is 36545029. The next prime is 36545057. The reversal of 36545040 is 4054563.

36545040 is a `hidden beast` number, since 3 + 654 + 5 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 36544995 and 36545013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13912 + ... + 16328.

It is an arithmetic number, because the mean of its divisors is an integer number (899496).

Almost surely, 2^36545040 is an apocalyptic number.

36545040 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 36545040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71959680).

36545040 is an abundant number, since it is smaller than the sum of its proper divisors (107374320).

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

36545040 is a wasteful number, since it uses less digits than its factorization.

36545040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 36545040 is about 6045.2493745089. The cubic root of 36545040 is about 331.8507579088.

The spelling of 36545040 in words is "thirty-six million, five hundred forty-five thousand, forty".