968348352 has 56 divisors (see below), whose sum is σ = 2571750000. Its totient is φ = 321565696.

The previous prime is 968348327. The next prime is 968348383. The reversal of 968348352 is 253843869.

It is a super-2 number, since 2×968348352² = 1875397061642231808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 42274 + ... + 61022.

Almost surely, 2^968348352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968348352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285875000).

968348352 is an abundant number, since it is smaller than the sum of its proper divisors (1603401648).

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

968348352 is a wasteful number, since it uses less digits than its factorization.

968348352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19033 (or 19023 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 968348352 is about 31118.2960973123. The cubic root of 968348352 is about 989.3361369151.

The spelling of 968348352 in words is "nine hundred sixty-eight million, three hundred forty-eight thousand, three hundred fifty-two".