68957824 has 64 divisors (see below), whose sum is σ = 153153000. Its totient is φ = 30707712.

The previous prime is 68957773. The next prime is 68957893. The reversal of 68957824 is 42875986.

It can be written as a sum of positive squares in 4 ways, for example, as 30913600 + 38044224 = 5560^2 + 6168^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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, 47542 + ... + 48970.

Almost surely, 2^68957824 is an apocalyptic number.

68957824 is a gapful number since it is divisible by the number (64) 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 68957824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76576500).

68957824 is an abundant number, since it is smaller than the sum of its proper divisors (84195176).

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

68957824 is a wasteful number, since it uses less digits than its factorization.

68957824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1473 counting only the distinct ones).

The product of its digits is 967680, while the sum is 49.

The square root of 68957824 is about 8304.0847779873. The cubic root of 68957824 is about 410.0730070269.

The spelling of 68957824 in words is "sixty-eight million, nine hundred fifty-seven thousand, eight hundred twenty-four".