967880001 has 16 divisors (see below), whose sum is σ = 1409091840. Its totient is φ = 586066320.

The previous prime is 967879993. The next prime is 967880009. The reversal of 967880001 is 100088769.

It is an interprime number because it is at equal distance from previous prime (967879993) and next prime (967880009).

It is not a de Polignac number, because 967880001 - 2³ = 967879993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (967880009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25770 + ... + 50988.

It is an arithmetic number, because the mean of its divisors is an integer number (88068240).

Almost surely, 2^967880001 is an apocalyptic number.

It is an amenable number.

967880001 is a deficient number, since it is larger than the sum of its proper divisors (441211839).

967880001 is a wasteful number, since it uses less digits than its factorization.

967880001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26396.

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 967880001 is about 31110.7698554697. The cubic root of 967880001 is about 989.1766105454.

The spelling of 967880001 in words is "nine hundred sixty-seven million, eight hundred eighty thousand, one".