968153472 has 320 divisors, whose sum is σ = 3390100560. Its totient is φ = 270397440.

The previous prime is 968153443. The next prime is 968153497. The reversal of 968153472 is 274351869.

It is a super-2 number, since 2×968153472² = 1874642290691309568, 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 39 ways as a sum of consecutive naturals, for example, 1482298 + ... + 1482950.

Almost surely, 2^968153472 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 968153472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695050280).

968153472 is an abundant number, since it is smaller than the sum of its proper divisors (2421947088).

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

968153472 is a wasteful number, since it uses less digits than its factorization.

968153472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 682 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 968153472 is about 31115.1646629099. The cubic root of 968153472 is about 989.2697645326.

The spelling of 968153472 in words is "nine hundred sixty-eight million, one hundred fifty-three thousand, four hundred seventy-two".