360640 has 84 divisors (see below), whose sum is σ = 1042416. Its totient is φ = 118272.

The previous prime is 360637. The next prime is 360649. The reversal of 360640 is 46063.

360640 = T₉₆ + T₉₇ + ... + T₁₄₄.

It is a happy number.

It is a super-2 number, since 2×360640² = 260122419200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (360649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15669 + ... + 15691.

2³⁶⁰⁶⁴⁰ 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 360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521208).

360640 is an abundant number, since it is smaller than the sum of its proper divisors (681776).

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

360640 is a wasteful number, since it uses less digits than its factorization.

360640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 360640 is about 600.5330965068. The cubic root of 360640 is about 71.1799969057.

It can be divided in two parts, 360 and 640, that multiplied together give a square (230400 = 480²).

The spelling of 360640 in words is "three hundred sixty thousand, six hundred forty".