67153968 has 160 divisors (see below), whose sum is σ = 224985600. Its totient is φ = 18779904.

The previous prime is 67153963. The next prime is 67153969. The reversal of 67153968 is 86935176.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67153963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160063 + ... + 160481.

It is an arithmetic number, because the mean of its divisors is an integer number (1406160).

Almost surely, 2^67153968 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 67153968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

67153968 is an abundant number, since it is smaller than the sum of its proper divisors (157831632).

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

67153968 is a wasteful number, since it uses less digits than its factorization.

67153968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 484 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 67153968 is about 8194.7524672805. The cubic root of 67153968 is about 406.4656906542.

It can be divided in two parts, 67153 and 968, that added together give a square (68121 = 261²).

The spelling of 67153968 in words is "sixty-seven million, one hundred fifty-three thousand, nine hundred sixty-eight".