36468040 has 64 divisors (see below), whose sum is σ = 94550400. Its totient is φ = 12400128.

The previous prime is 36468037. The next prime is 36468053. The reversal of 36468040 is 4086463.

It is a junction number, because it is equal to n+sod(n) for n = 36467993 and 36468011.

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 15 ways as a sum of consecutive naturals, for example, 38452 + ... + 39388.

It is an arithmetic number, because the mean of its divisors is an integer number (1477350).

Almost surely, 2^36468040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36468040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47275200).

36468040 is an abundant number, since it is smaller than the sum of its proper divisors (58082360).

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

36468040 is a wasteful number, since it uses less digits than its factorization.

36468040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 36468040 is about 6038.8773791161. The cubic root of 36468040 is about 331.6175253855.

The spelling of 36468040 in words is "thirty-six million, four hundred sixty-eight thousand, forty".