36458268 has 144 divisors (see below), whose sum is σ = 113686272. Its totient is φ = 8870400.

The previous prime is 36458221. The next prime is 36458269. The reversal of 36458268 is 86285463.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36458269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172683 + ... + 172893.

It is an arithmetic number, because the mean of its divisors is an integer number (789488).

Almost surely, 2^36458268 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 36458268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56843136).

36458268 is an abundant number, since it is smaller than the sum of its proper divisors (77228004).

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

36458268 is a wasteful number, since it uses less digits than its factorization.

36458268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 251 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 36458268 is about 6038.0682341292. The cubic root of 36458268 is about 331.5879025893.

The spelling of 36458268 in words is "thirty-six million, four hundred fifty-eight thousand, two hundred sixty-eight".