67870400 has 126 divisors (see below), whose sum is σ = 181558692. Its totient is φ = 24960000.

The previous prime is 67870381. The next prime is 67870403. The reversal of 67870400 is 407876.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (67870403) 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 17 ways as a sum of consecutive naturals, for example, 270275 + ... + 270525.

It is an arithmetic number, because the mean of its divisors is an integer number (1440942).

Almost surely, 2^67870400 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 67870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90779346).

67870400 is an abundant number, since it is smaller than the sum of its proper divisors (113688292).

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

67870400 is a wasteful number, since it uses less digits than its factorization.

67870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 67870400 is about 8238.3493492325. The cubic root of 67870400 is about 407.9060401344.

The spelling of 67870400 in words is "sixty-seven million, eight hundred seventy thousand, four hundred".