67115904 has 64 divisors (see below), whose sum is σ = 187680000. Its totient is φ = 21192192.

The previous prime is 67115903. The next prime is 67115941. The reversal of 67115904 is 40951176.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67115903) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2697 + ... + 11895.

It is an arithmetic number, because the mean of its divisors is an integer number (2932500).

Almost surely, 2^67115904 is an apocalyptic number.

67115904 is a gapful number since it is divisible by the number (64) 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 67115904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93840000).

67115904 is an abundant number, since it is smaller than the sum of its proper divisors (120564096).

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

67115904 is a wasteful number, since it uses less digits than its factorization.

67115904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9235 (or 9223 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 67115904 is about 8192.4296762316. The cubic root of 67115904 is about 406.3888789401.

The spelling of 67115904 in words is "sixty-seven million, one hundred fifteen thousand, nine hundred four".