68417460 has 120 divisors (see below), whose sum is σ = 216798120. Its totient is φ = 18061056.

The previous prime is 68417443. The next prime is 68417491. The reversal of 68417460 is 6471486.

It can be written as a sum of positive squares in 4 ways, for example, as 156816 + 68260644 = 396^2 + 8262^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 254206 + ... + 254474.

It is an arithmetic number, because the mean of its divisors is an integer number (1806651).

Almost surely, 2^68417460 is an apocalyptic number.

68417460 is a gapful number since it is divisible by the number (60) 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 68417460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108399060).

68417460 is an abundant number, since it is smaller than the sum of its proper divisors (148380660).

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

68417460 is a wasteful number, since it uses less digits than its factorization.

68417460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 68417460 is about 8271.4847518447. The cubic root of 68417460 is about 408.9990654426. Note that the first 3 decimals are identical.

The spelling of 68417460 in words is "sixty-eight million, four hundred seventeen thousand, four hundred sixty".