360086640 has 80 divisors (see below), whose sum is σ = 1120026528. Its totient is φ = 95699968.

The previous prime is 360086633. The next prime is 360086729. The reversal of 360086640 is 46680063.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73714 + ... + 78446.

Almost surely, 2^360086640 is an apocalyptic number.

360086640 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 360086640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560013264).

360086640 is an abundant number, since it is smaller than the sum of its proper divisors (759939888).

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

360086640 is a wasteful number, since it uses less digits than its factorization.

360086640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5066 (or 5060 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 360086640 is about 18975.9489881270. The cubic root of 360086640 is about 711.4357246975.

The spelling of 360086640 in words is "three hundred sixty million, eighty-six thousand, six hundred forty".