68187840 has 224 divisors, whose sum is σ = 252618240. Its totient is φ = 15261696.

The previous prime is 68187773. The next prime is 68187841. The reversal of 68187840 is 4878186.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 68187792 and 68187801.

It is not an unprimeable number, because it can be changed into a prime (68187841) 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, 490491 + ... + 490629.

It is an arithmetic number, because the mean of its divisors is an integer number (1127760).

Almost surely, 2^68187840 is an apocalyptic number.

68187840 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 68187840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126309120).

68187840 is an abundant number, since it is smaller than the sum of its proper divisors (184430400).

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

68187840 is a wasteful number, since it uses less digits than its factorization.

68187840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 68187840 is about 8257.5928695958. The cubic root of 68187840 is about 408.5409970604.

The spelling of 68187840 in words is "sixty-eight million, one hundred eighty-seven thousand, eight hundred forty".