360987968 has 28 divisors (see below), whose sum is σ = 781458432. Its totient is φ = 164085120.

The previous prime is 360987961. The next prime is 360987971. The reversal of 360987968 is 869789063.

360987968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×360987968³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360987961) 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 3 ways as a sum of consecutive naturals, for example, 255680 + ... + 257087.

Almost surely, 2^360987968 is an apocalyptic number.

It is an amenable number.

360987968 is an abundant number, since it is smaller than the sum of its proper divisors (420470464).

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

360987968 is a wasteful number, since it uses less digits than its factorization.

360987968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512790 (or 512780 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 56.

The square root of 360987968 is about 18999.6833657827. The cubic root of 360987968 is about 712.0288251596.

The spelling of 360987968 in words is "three hundred sixty million, nine hundred eighty-seven thousand, nine hundred sixty-eight".