968890129 has 9 divisors (see below), whose sum is σ = 1029798651. Its totient is φ = 911398560.

The previous prime is 968890099. The next prime is 968890183. The reversal of 968890129 is 921098869.

The square root of 968890129 is 31127.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 754326225 + 214563904 = 27465^2 + 14648^2 .

It is not a de Polignac number, because 968890129 - 2⁷ = 968890001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (968890189) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 528244 + ... + 530074.

Almost surely, 2^968890129 is an apocalyptic number.

968890129 is the 31127-th square number.

968890129 is the 15564-th centered octagonal number.

It is an amenable number.

968890129 is a deficient number, since it is larger than the sum of its proper divisors (60908522).

968890129 is an frugal number, since it uses more digits than its factorization.

968890129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3696 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 52.

The cubic root of 968890129 is about 989.5206089710.

The spelling of 968890129 in words is "nine hundred sixty-eight million, eight hundred ninety thousand, one hundred twenty-nine".