36258480 has 60 divisors (see below), whose sum is σ = 121770480. Its totient is φ = 9668736.

The previous prime is 36258427. The next prime is 36258487. The reversal of 36258480 is 8485263.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is not an unprimeable number, because it can be changed into a prime (36258487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24460 + ... + 25899.

It is an arithmetic number, because the mean of its divisors is an integer number (2029508).

Almost surely, 2^36258480 is an apocalyptic number.

36258480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36258480 is an abundant number, since it is smaller than the sum of its proper divisors (85512000).

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

36258480 is a wasteful number, since it uses less digits than its factorization.

36258480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50378 (or 50369 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 36258480 is about 6021.5014738851. The cubic root of 36258480 is about 330.9811022943.

The spelling of 36258480 in words is "thirty-six million, two hundred fifty-eight thousand, four hundred eighty".