360144576 has 112 divisors (see below), whose sum is σ = 1155070080. Its totient is φ = 109128960.

The previous prime is 360144539. The next prime is 360144581. The reversal of 360144576 is 675441063.

It is a happy number.

360144576 is a `hidden beast` number, since 3 + 601 + 4 + 45 + 7 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 360144576.

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, 9535 + ... + 28481.

Almost surely, 2^360144576 is an apocalyptic number.

360144576 is a gapful number since it is divisible by the number (36) 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 360144576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577535040).

360144576 is an abundant number, since it is smaller than the sum of its proper divisors (794925504).

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

360144576 is a wasteful number, since it uses less digits than its factorization.

360144576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18979 (or 18963 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 360144576 is about 18977.4754906969. The cubic root of 360144576 is about 711.4738780428.

The spelling of 360144576 in words is "three hundred sixty million, one hundred forty-four thousand, five hundred seventy-six".