67113648 has 120 divisors (see below), whose sum is σ = 216652800. Its totient is φ = 18997632.

The previous prime is 67113619. The next prime is 67113653. The reversal of 67113648 is 84631176.

67113648 is a `hidden beast` number, since 6 + 7 + 1 + 1 + 3 + 648 = 666.

It is a super-4 number, since 4×67113648⁴ (a number of 32 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139873 + ... + 140351.

It is an arithmetic number, because the mean of its divisors is an integer number (1805440).

Almost surely, 2^67113648 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 67113648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108326400).

67113648 is an abundant number, since it is smaller than the sum of its proper divisors (149539152).

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

67113648 is a wasteful number, since it uses less digits than its factorization.

67113648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 630 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 67113648 is about 8192.2919869839. The cubic root of 67113648 is about 406.3843255058.

The spelling of 67113648 in words is "sixty-seven million, one hundred thirteen thousand, six hundred forty-eight".