36263640 has 128 divisors (see below), whose sum is σ = 129807360. Its totient is φ = 7924224.

The previous prime is 36263629. The next prime is 36263641. The reversal of 36263640 is 4636263.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 36263598 and 36263607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36263641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18382 + ... + 20258.

It is an arithmetic number, because the mean of its divisors is an integer number (1014120).

Almost surely, 2^36263640 is an apocalyptic number.

36263640 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 36263640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64903680).

36263640 is an abundant number, since it is smaller than the sum of its proper divisors (93543720).

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

36263640 is a wasteful number, since it uses less digits than its factorization.

36263640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 36263640 is about 6021.9299232057. The cubic root of 36263640 is about 330.9968023593.

The spelling of 36263640 in words is "thirty-six million, two hundred sixty-three thousand, six hundred forty".