68873400 has 144 divisors (see below), whose sum is σ = 234594360. Its totient is φ = 18105600.

The previous prime is 68873333. The next prime is 68873417. The reversal of 68873400 is 437886.

It is a Cunningham number, because it is equal to 8299²-1.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 149170 + ... + 149630.

Almost surely, 2^68873400 is an apocalyptic number.

68873400 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 68873400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117297180).

68873400 is an abundant number, since it is smaller than the sum of its proper divisors (165720960).

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

68873400 is a wasteful number, since it uses less digits than its factorization.

68873400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 554 counting only the distinct ones).

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

The square root of 68873400 is about 8298.9999397518. Note that the first 4 decimals coincide. The cubic root of 68873400 is about 409.9055900011.

It can be divided in two parts, 688 and 73400, that added together give a cube (74088 = 42³).

The spelling of 68873400 in words is "sixty-eight million, eight hundred seventy-three thousand, four hundred".