67838400 has 252 divisors, whose sum is σ = 275967952. Its totient is φ = 15482880.

The previous prime is 67838383. The next prime is 67838401. The reversal of 67838400 is 483876.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67838401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100464 + ... + 101136.

Almost surely, 2^67838400 is an apocalyptic number.

67838400 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 67838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137983976).

67838400 is an abundant number, since it is smaller than the sum of its proper divisors (208129552).

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

67838400 is a wasteful number, since it uses less digits than its factorization.

67838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 690 counting only the distinct ones).

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

The square root of 67838400 is about 8236.4069836307. The cubic root of 67838400 is about 407.8419226140.

The spelling of 67838400 in words is "sixty-seven million, eight hundred thirty-eight thousand, four hundred".