67952808 has 288 divisors, whose sum is σ = 249687360. Its totient is φ = 16450560.

The previous prime is 67952803. The next prime is 67952813. The reversal of 67952808 is 80825976.

It is an interprime number because it is at equal distance from previous prime (67952803) and next prime (67952813).

It is a super-3 number, since 3×67952808³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (67952803) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 659685 + ... + 659787.

It is an arithmetic number, because the mean of its divisors is an integer number (866970).

Almost surely, 2^67952808 is an apocalyptic number.

67952808 is a gapful number since it is divisible by the number (68) 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 67952808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124843680).

67952808 is an abundant number, since it is smaller than the sum of its proper divisors (181734552).

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

67952808 is a wasteful number, since it uses less digits than its factorization.

67952808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 67952808 is about 8243.3493192998. The cubic root of 67952808 is about 408.0710660523.

The spelling of 67952808 in words is "sixty-seven million, nine hundred fifty-two thousand, eight hundred eight".