36939240 has 160 divisors (see below), whose sum is σ = 133859880. Its totient is φ = 9082368.

The previous prime is 36939239. The next prime is 36939247. The reversal of 36939240 is 4293963.

It is a happy number.

36939240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 29354724 + 7584516 = 5418^2 + 2754^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 36939195 and 36939204.

It is not an unprimeable number, because it can be changed into a prime (36939247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41682 + ... + 42558.

Almost surely, 2^36939240 is an apocalyptic number.

36939240 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 36939240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66929940).

36939240 is an abundant number, since it is smaller than the sum of its proper divisors (96920640).

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

36939240 is a wasteful number, since it uses less digits than its factorization.

36939240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 36939240 is about 6077.7660369580. The cubic root of 36939240 is about 333.0396836077.

The spelling of 36939240 in words is "thirty-six million, nine hundred thirty-nine thousand, two hundred forty".