67946496 has 48 divisors (see below), whose sum is σ = 181162800. Its totient is φ = 22646784.

The previous prime is 67946491. The next prime is 67946521. The reversal of 67946496 is 69464976.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (67946491) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 615 + ... + 11673.

It is an arithmetic number, because the mean of its divisors is an integer number (3774225).

Almost surely, 2^67946496 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 67946496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90581400).

67946496 is an abundant number, since it is smaller than the sum of its proper divisors (113216304).

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

67946496 is a wasteful number, since it uses less digits than its factorization.

67946496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11084 (or 11064 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 51.

The square root of 67946496 is about 8242.9664563190. The cubic root of 67946496 is about 408.0584306935.

The spelling of 67946496 in words is "sixty-seven million, nine hundred forty-six thousand, four hundred ninety-six".