36258960 has 80 divisors (see below), whose sum is σ = 119028096. Its totient is φ = 9099264.

The previous prime is 36258953. The next prime is 36258967. The reversal of 36258960 is 6985263.

It is an interprime number because it is at equal distance from previous prime (36258953) and next prime (36258967).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36258967) 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, 364 + ... + 8523.

Almost surely, 2^36258960 is an apocalyptic number.

36258960 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 36258960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59514048).

36258960 is an abundant number, since it is smaller than the sum of its proper divisors (82769136).

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

36258960 is a wasteful number, since it uses less digits than its factorization.

36258960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8920 (or 8914 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 36258960 is about 6021.5413309218. The cubic root of 36258960 is about 330.9825628283.

The spelling of 36258960 in words is "thirty-six million, two hundred fifty-eight thousand, nine hundred sixty".