67904 has 14 divisors (see below), whose sum is σ = 134874. Its totient is φ = 33920.

The previous prime is 67901. The next prime is 67927. The reversal of 67904 is 40976.

It can be written as a sum of positive squares in only one way, i.e., 61504 + 6400 = 248^2 + 80^2 .

It is a super-2 number, since 2×67904² = 9221906432, which contains 22 as substring.

It is a d-powerful number, because it can be written as 6⁴ + 7³ + 9³ + 0 + 4⁸ .

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 467 + ... + 594.

2⁶⁷⁹⁰⁴ is an apocalyptic number.

67904 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

67904 is a deficient number, since it is larger than the sum of its proper divisors (66970).

67904 is a wasteful number, since it uses less digits than its factorization.

67904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 67904 is about 260.5839595984. The cubic root of 67904 is about 40.7973341844.

The spelling of 67904 in words is "sixty-seven thousand, nine hundred four".