67130496 has 96 divisors (see below), whose sum is σ = 203408400. Its totient is φ = 21192192.

The previous prime is 67130471. The next prime is 67130507. The reversal of 67130496 is 69403176.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 67130496.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20355 + ... + 23421.

Almost surely, 2^67130496 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 67130496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101704200).

67130496 is an abundant number, since it is smaller than the sum of its proper divisors (136277904).

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

67130496 is a wasteful number, since it uses less digits than its factorization.

67130496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106 (or 3091 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 67130496 is about 8193.3202061191. The cubic root of 67130496 is about 406.4183284767.

The spelling of 67130496 in words is "sixty-seven million, one hundred thirty thousand, four hundred ninety-six".