67896720 has 120 divisors (see below), whose sum is σ = 229719672. Its totient is φ = 17971200.

The previous prime is 67896707. The next prime is 67896733. The reversal of 67896720 is 2769876.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (67896707) and next prime (67896733).

It can be written as a sum of positive squares in 4 ways, for example, as 1115136 + 66781584 = 1056^2 + 8172^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130060 + ... + 130580.

Almost surely, 2^67896720 is an apocalyptic number.

67896720 is a gapful number since it is divisible by the number (60) 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 67896720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114859836).

67896720 is an abundant number, since it is smaller than the sum of its proper divisors (161822952).

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

67896720 is a wasteful number, since it uses less digits than its factorization.

67896720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 67896720 is about 8239.9466017687. The cubic root of 67896720 is about 407.9587616913.

The spelling of 67896720 in words is "sixty-seven million, eight hundred ninety-six thousand, seven hundred twenty".