36268500 has 48 divisors (see below), whose sum is σ = 105618240. Its totient is φ = 9671200.

The previous prime is 36268487. The next prime is 36268501. The reversal of 36268500 is 586263.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36268501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10590 + ... + 13589.

It is an arithmetic number, because the mean of its divisors is an integer number (2200380).

Almost surely, 2^36268500 is an apocalyptic number.

36268500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36268500 is an abundant number, since it is smaller than the sum of its proper divisors (69349740).

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

36268500 is a wasteful number, since it uses less digits than its factorization.

36268500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24201 (or 24189 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 36268500 is about 6022.3334348075. Note that the first 3 decimals coincide. The cubic root of 36268500 is about 331.0115882679.

The spelling of 36268500 in words is "thirty-six million, two hundred sixty-eight thousand, five hundred".