67153068 has 72 divisors (see below), whose sum is σ = 184504320. Its totient is φ = 20515680.

The previous prime is 67153063. The next prime is 67153069. The reversal of 67153068 is 86035176.

67153068 is a `hidden beast` number, since 67 + 1 + 530 + 68 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (67153061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19621 + ... + 22787.

It is an arithmetic number, because the mean of its divisors is an integer number (2562560).

Almost surely, 2^67153068 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 67153068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92252160).

67153068 is an abundant number, since it is smaller than the sum of its proper divisors (117351252).

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

67153068 is a wasteful number, since it uses less digits than its factorization.

67153068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 67153068 is about 8194.6975539064. The cubic root of 67153068 is about 406.4638748233.

The spelling of 67153068 in words is "sixty-seven million, one hundred fifty-three thousand, sixty-eight".