67851720 has 96 divisors (see below), whose sum is σ = 225945720. Its totient is φ = 17648640.

The previous prime is 67851689. The next prime is 67851727. The reversal of 67851720 is 2715876.

It can be written as a sum of positive squares in 4 ways, for example, as 19660356 + 48191364 = 4434^2 + 6942^2 .

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

It is not an unprimeable number, because it can be changed into a prime (67851727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12462 + ... + 17058.

Almost surely, 2^67851720 is an apocalyptic number.

67851720 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 67851720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112972860).

67851720 is an abundant number, since it is smaller than the sum of its proper divisors (158094000).

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

67851720 is a wasteful number, since it uses less digits than its factorization.

67851720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4655 (or 4648 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 67851720 is about 8237.2155489583. The cubic root of 67851720 is about 407.8686139811.

The spelling of 67851720 in words is "sixty-seven million, eight hundred fifty-one thousand, seven hundred twenty".