360943968 has 288 divisors, whose sum is σ = 1248403968. Its totient is φ = 89210880.

The previous prime is 360943963. The next prime is 360943987. The reversal of 360943968 is 869349063.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360943963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1870080 + ... + 1870272.

It is an arithmetic number, because the mean of its divisors is an integer number (4334736).

Almost surely, 2^360943968 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 360943968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624201984).

360943968 is an abundant number, since it is smaller than the sum of its proper divisors (887460000).

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

360943968 is a wasteful number, since it uses less digits than its factorization.

360943968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The square root of 360943968 is about 18998.5254164632. The cubic root of 360943968 is about 711.9998947944. Note that the first 3 decimals are identical.

The spelling of 360943968 in words is "three hundred sixty million, nine hundred forty-three thousand, nine hundred sixty-eight".