67923936 has 72 divisors (see below), whose sum is σ = 203341320. Its totient is φ = 21447936.

The previous prime is 67923931. The next prime is 67923937. The reversal of 67923936 is 63932976.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×67923936² = 9227322163464192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 67923891 and 67923900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67923931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 735 + ... + 11678.

It is an arithmetic number, because the mean of its divisors is an integer number (2824185).

Almost surely, 2^67923936 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 67923936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101670660).

67923936 is an abundant number, since it is smaller than the sum of its proper divisors (135417384).

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

67923936 is a wasteful number, since it uses less digits than its factorization.

67923936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12448 (or 12437 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The square root of 67923936 is about 8241.5979033195. The cubic root of 67923936 is about 408.0132636980.

The spelling of 67923936 in words is "sixty-seven million, nine hundred twenty-three thousand, nine hundred thirty-six".