67878096 has 240 divisors, whose sum is σ = 221652480. Its totient is φ = 17740800.

The previous prime is 67878061. The next prime is 67878137. The reversal of 67878096 is 69087876.

67878096 = 293² + 294² + ... + 611².

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2189601 + ... + 2189631.

It is an arithmetic number, because the mean of its divisors is an integer number (923552).

Almost surely, 2^67878096 is an apocalyptic number.

67878096 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67878096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110826240).

67878096 is an abundant number, since it is smaller than the sum of its proper divisors (153774384).

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

67878096 is a wasteful number, since it uses less digits than its factorization.

67878096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The square root of 67878096 is about 8238.8164198506. The cubic root of 67878096 is about 407.9214573916.

It can be divided in two parts, 678780 and 96, that added together give a palindrome (678876).

The spelling of 67878096 in words is "sixty-seven million, eight hundred seventy-eight thousand, ninety-six".