67956096 has 64 divisors (see below), whose sum is σ = 194407920. Its totient is φ = 20908032.

The previous prime is 67956071. The next prime is 67956107. The reversal of 67956096 is 69065976.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×67956096² = 9236061967122432, 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 7 ways as a sum of consecutive naturals, for example, 1815 + ... + 11798.

Almost surely, 2^67956096 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 67956096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97203960).

67956096 is an abundant number, since it is smaller than the sum of its proper divisors (126451824).

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

67956096 is a wasteful number, since it uses less digits than its factorization.

67956096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13643 (or 13631 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 48.

The square root of 67956096 is about 8243.5487503866. The cubic root of 67956096 is about 408.0776476592.

The spelling of 67956096 in words is "sixty-seven million, nine hundred fifty-six thousand, ninety-six".