36642240 has 112 divisors (see below), whose sum is σ = 129296160. Its totient is φ = 9768960.

The previous prime is 36642227. The next prime is 36642251. The reversal of 36642240 is 4224663.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6520 + ... + 10760.

It is an arithmetic number, because the mean of its divisors is an integer number (1154430).

Almost surely, 2^36642240 is an apocalyptic number.

36642240 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 36642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64648080).

36642240 is an abundant number, since it is smaller than the sum of its proper divisors (92653920).

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

36642240 is a wasteful number, since it uses less digits than its factorization.

36642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4267 (or 4251 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 36642240 is about 6053.2834065489. The cubic root of 36642240 is about 332.1447087752.

The spelling of 36642240 in words is "thirty-six million, six hundred forty-two thousand, two hundred forty".