68723424 has 192 divisors, whose sum is σ = 250145280. Its totient is φ = 17832960.

The previous prime is 68723411. The next prime is 68723429. The reversal of 68723424 is 42432786.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68723429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66012 + ... + 67044.

It is an arithmetic number, because the mean of its divisors is an integer number (1302840).

Almost surely, 2^68723424 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 68723424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125072640).

68723424 is an abundant number, since it is smaller than the sum of its proper divisors (181421856).

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

68723424 is a wasteful number, since it uses less digits than its factorization.

68723424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1056 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 68723424 is about 8289.9592278853. The cubic root of 68723424 is about 409.6078423588.

It can be divided in two parts, 6872 and 3424, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 68723424 in words is "sixty-eight million, seven hundred twenty-three thousand, four hundred twenty-four".