968160 has 48 divisors (see below), whose sum is σ = 3051216. Its totient is φ = 258048.

The previous prime is 968159. The next prime is 968173. The reversal of 968160 is 61869.

968160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 529 + ... + 1488.

It is an arithmetic number, because the mean of its divisors is an integer number (63567).

2⁹⁶⁸¹⁶⁰ is an apocalyptic number.

It is an amenable number.

968160 is an abundant number, since it is smaller than the sum of its proper divisors (2083056).

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

968160 is a wasteful number, since it uses less digits than its factorization.

968160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 968160 is about 983.9512183030. The cubic root of 968160 is about 98.9271987988.

It can be divided in two parts, 968 and 160, that added together give a triangular number (1128 = T₄₇).

The spelling of 968160 in words is "nine hundred sixty-eight thousand, one hundred sixty".