360157644 has 288 divisors, whose sum is σ = 1241049600. Its totient is φ = 89147520.

The previous prime is 360157639. The next prime is 360157657. The reversal of 360157644 is 446751063.

It is a happy number.

360157644 is a `hidden beast` number, since 3 + 6 + 0 + 1 + 5 + 7 + 644 = 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 junction number, because it is equal to n+sod(n) for n = 360157599 and 360157608.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1338742 + ... + 1339010.

It is an arithmetic number, because the mean of its divisors is an integer number (4309200).

Almost surely, 2^360157644 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 360157644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620524800).

360157644 is an abundant number, since it is smaller than the sum of its proper divisors (880891956).

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

360157644 is a wasteful number, since it uses less digits than its factorization.

360157644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 315 counting only the distinct ones).

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

The square root of 360157644 is about 18977.8197904817. The cubic root of 360157644 is about 711.4824833167.

The spelling of 360157644 in words is "three hundred sixty million, one hundred fifty-seven thousand, six hundred forty-four".