967102971660 has 432 divisors, whose sum is σ = 3542828889600. Its totient is φ = 220805585280.

The previous prime is 967102971631. The next prime is 967102971677. The reversal of 967102971660 is 66179201769.

967102971660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 967102971597 and 967102971606.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 293148691 + ... + 293151989.

It is an arithmetic number, because the mean of its divisors is an integer number (8200992800).

Almost surely, 2^967102971660 is an apocalyptic number.

967102971660 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 967102971660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771414444800).

967102971660 is an abundant number, since it is smaller than the sum of its proper divisors (2575725917940).

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

967102971660 is a wasteful number, since it uses less digits than its factorization.

967102971660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4568 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 967102971660 in words is "nine hundred sixty-seven billion, one hundred two million, nine hundred seventy-one thousand, six hundred sixty".