68261424 has 240 divisors, whose sum is σ = 234318336. Its totient is φ = 16727040.

The previous prime is 68261423. The next prime is 68261429. The reversal of 68261424 is 42416286.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (68261423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 935052 + ... + 935124.

Almost surely, 2^68261424 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 68261424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117159168).

68261424 is an abundant number, since it is smaller than the sum of its proper divisors (166056912).

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

68261424 is a wasteful number, since it uses less digits than its factorization.

68261424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 119 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 68261424 is about 8262.0472039320. The cubic root of 68261424 is about 408.6879014230.

The spelling of 68261424 in words is "sixty-eight million, two hundred sixty-one thousand, four hundred twenty-four".