966735104 has 36 divisors (see below), whose sum is σ = 1970775744. Its totient is φ = 473077248.

The previous prime is 966735089. The next prime is 966735139. The reversal of 966735104 is 401537669.

It is a super-2 number, since 2×966735104² = 1869153522611781632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28142 + ... + 52205.

Almost surely, 2^966735104 is an apocalyptic number.

966735104 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

966735104 is an abundant number, since it is smaller than the sum of its proper divisors (1004040640).

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

966735104 is an equidigital number, since it uses as much as digits as its factorization.

966735104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80410 (or 80396 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 966735104 is about 31092.3640786609. The cubic root of 966735104 is about 988.7864271308.

The spelling of 966735104 in words is "nine hundred sixty-six million, seven hundred thirty-five thousand, one hundred four".