36884540 has 96 divisors (see below), whose sum is σ = 98993664. Its totient is φ = 11208960.

The previous prime is 36884531. The next prime is 36884563. The reversal of 36884540 is 4548863.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 36884494 and 36884503.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 65942 + ... + 66498.

It is an arithmetic number, because the mean of its divisors is an integer number (1031184).

Almost surely, 2^36884540 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 36884540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49496832).

36884540 is an abundant number, since it is smaller than the sum of its proper divisors (62109124).

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

36884540 is a wasteful number, since it uses less digits than its factorization.

36884540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 36884540 is about 6073.2643611159. The cubic root of 36884540 is about 332.8752128876.

It can be divided in two parts, 3688 and 4540, that added together give a palindrome (8228).

The spelling of 36884540 in words is "thirty-six million, eight hundred eighty-four thousand, five hundred forty".