67848960 has 72 divisors (see below), whose sum is σ = 216704880. Its totient is φ = 18092032.

The previous prime is 67848953. The next prime is 67848983. The reversal of 67848960 is 6984876.

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

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, 4995 + ... + 12674.

It is an arithmetic number, because the mean of its divisors is an integer number (3009790).

Almost surely, 2^67848960 is an apocalyptic number.

67848960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67848960 is an abundant number, since it is smaller than the sum of its proper divisors (148855920).

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

67848960 is a wasteful number, since it uses less digits than its factorization.

67848960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17693 (or 17679 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 67848960 is about 8237.0480149141. The cubic root of 67848960 is about 407.8630836244.

The spelling of 67848960 in words is "sixty-seven million, eight hundred forty-eight thousand, nine hundred sixty".