68253824 has 32 divisors (see below), whose sum is σ = 138553740. Its totient is φ = 33479680.

The previous prime is 68253797. The next prime is 68253841. The reversal of 68253824 is 42835286.

It can be written as a sum of positive squares in 2 ways, for example, as 66716224 + 1537600 = 8168^2 + 1240^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1754 + ... + 11814.

Almost surely, 2^68253824 is an apocalyptic number.

68253824 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 68253824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69276870).

68253824 is an abundant number, since it is smaller than the sum of its proper divisors (70299916).

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

68253824 is a wasteful number, since it uses less digits than its factorization.

68253824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10128 (or 10116 counting only the distinct ones).

The product of its digits is 92160, while the sum is 38.

The square root of 68253824 is about 8261.5872566959. The cubic root of 68253824 is about 408.6727335427.

The spelling of 68253824 in words is "sixty-eight million, two hundred fifty-three thousand, eight hundred twenty-four".