968529408 has 320 divisors, whose sum is σ = 3394068480. Its totient is φ = 237772800.

The previous prime is 968529361. The next prime is 968529431. The reversal of 968529408 is 804925869.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2246953 + ... + 2247383.

It is an arithmetic number, because the mean of its divisors is an integer number (10606464).

Almost surely, 2^968529408 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 968529408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697034240).

968529408 is an abundant number, since it is smaller than the sum of its proper divisors (2425539072).

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

968529408 is a wasteful number, since it uses less digits than its factorization.

968529408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The square root of 968529408 is about 31121.2051180542. The cubic root of 968529408 is about 989.3977931295.

It can be divided in two parts, 9685 and 29408, that added together give a palindrome (39093).

The spelling of 968529408 in words is "nine hundred sixty-eight million, five hundred twenty-nine thousand, four hundred eight".