67819648 has 64 divisors (see below), whose sum is σ = 148440600. Its totient is φ = 30670848.

The previous prime is 67819639. The next prime is 67819673. The reversal of 67819648 is 84691876.

It can be written as a sum of positive squares in 4 ways, for example, as 50580544 + 17239104 = 7112^2 + 4152^2 .

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

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, 87808 + ... + 88576.

Almost surely, 2^67819648 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 67819648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74220300).

67819648 is an abundant number, since it is smaller than the sum of its proper divisors (80620952).

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

67819648 is a wasteful number, since it uses less digits than its factorization.

67819648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 837 counting only the distinct ones).

The product of its digits is 580608, while the sum is 49.

The square root of 67819648 is about 8235.2685444981. The cubic root of 67819648 is about 407.8043403769.

The spelling of 67819648 in words is "sixty-seven million, eight hundred nineteen thousand, six hundred forty-eight".