360870048 has 144 divisors (see below), whose sum is σ = 1279526976. Its totient is φ = 93726720.

The previous prime is 360870043. The next prime is 360870077. The reversal of 360870048 is 840078063.

360870048 is a `hidden beast` number, since 3 + 608 + 7 + 0 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 360869994 and 360870021.

It is not an unprimeable number, because it can be changed into a prime (360870043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14040 + ... + 30312.

It is an arithmetic number, because the mean of its divisors is an integer number (8885604).

Almost surely, 2^360870048 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 360870048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639763488).

360870048 is an abundant number, since it is smaller than the sum of its proper divisors (918656928).

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

360870048 is a wasteful number, since it uses less digits than its factorization.

360870048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16307 (or 16296 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 360870048 is about 18996.5799027088. The cubic root of 360870048 is about 711.9512864875.

The spelling of 360870048 in words is "three hundred sixty million, eight hundred seventy thousand, forty-eight".