68965824 has 56 divisors (see below), whose sum is σ = 188374528. Its totient is φ = 22245120.

The previous prime is 68965783. The next prime is 68965829. The reversal of 68965824 is 42856986.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68965829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159 + ... + 11745.

Almost surely, 2^68965824 is an apocalyptic number.

68965824 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 68965824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94187264).

68965824 is an abundant number, since it is smaller than the sum of its proper divisors (119408704).

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

68965824 is a wasteful number, since it uses less digits than its factorization.

68965824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11633 (or 11623 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 68965824 is about 8304.5664546682. The cubic root of 68965824 is about 410.0888643390.

It can be divided in two parts, 6896 and 5824, that added together give a triangular number (12720 = T₁₅₉).

The spelling of 68965824 in words is "sixty-eight million, nine hundred sixty-five thousand, eight hundred twenty-four".