968052096 has 192 divisors, whose sum is σ = 3080563200. Its totient is φ = 289336320.

The previous prime is 968052061. The next prime is 968052101. The reversal of 968052096 is 690250869.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1000605 + ... + 1001571.

It is an arithmetic number, because the mean of its divisors is an integer number (16044600).

Almost surely, 2^968052096 is an apocalyptic number.

968052096 is a gapful number since it is divisible by the number (96) 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 968052096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540281600).

968052096 is an abundant number, since it is smaller than the sum of its proper divisors (2112511104).

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

968052096 is a wasteful number, since it uses less digits than its factorization.

968052096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 968052096 is about 31113.5355753730. The cubic root of 968052096 is about 989.2352342936.

It can be divided in two parts, 9680 and 52096, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 968052096 in words is "nine hundred sixty-eight million, fifty-two thousand, ninety-six".