67941984 has 72 divisors (see below), whose sum is σ = 196068600. Its totient is φ = 20584960.

The previous prime is 67941899. The next prime is 67942003. The reversal of 67941984 is 48914976.

It is a super-2 number, since 2×67941984² = 9232226379712512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8692 + ... + 14540.

It is an arithmetic number, because the mean of its divisors is an integer number (2723175).

Almost surely, 2^67941984 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 67941984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98034300).

67941984 is an abundant number, since it is smaller than the sum of its proper divisors (128126616).

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

67941984 is a wasteful number, since it uses less digits than its factorization.

67941984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5884 (or 5865 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 67941984 is about 8242.6927638970. The cubic root of 67941984 is about 408.0493980943.

It can be divided in two parts, 6794 and 1984, that added together give a palindrome (8778).

The spelling of 67941984 in words is "sixty-seven million, nine hundred forty-one thousand, nine hundred eighty-four".