67013136 has 80 divisors (see below), whose sum is σ = 195582720. Its totient is φ = 21962880.

The previous prime is 67013123. The next prime is 67013159. The reversal of 67013136 is 63131076.

67013136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25081 + ... + 27623.

It is an arithmetic number, because the mean of its divisors is an integer number (2444784).

Almost surely, 2^67013136 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 67013136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97791360).

67013136 is an abundant number, since it is smaller than the sum of its proper divisors (128569584).

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

67013136 is a wasteful number, since it uses less digits than its factorization.

67013136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 67013136 is about 8186.1551414568. The cubic root of 67013136 is about 406.1813518403.

The spelling of 67013136 in words is "sixty-seven million, thirteen thousand, one hundred thirty-six".