67796640 has 216 divisors, whose sum is σ = 244569780. Its totient is φ = 17098752.

The previous prime is 67796611. The next prime is 67796689. The reversal of 67796640 is 4669776.

It can be written as a sum of positive squares in 2 ways, for example, as 64064016 + 3732624 = 8004^2 + 1932^2 .

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 (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 761716 + ... + 761804.

Almost surely, 2^67796640 is an apocalyptic number.

67796640 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 67796640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122284890).

67796640 is an abundant number, since it is smaller than the sum of its proper divisors (176773140).

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

67796640 is a wasteful number, since it uses less digits than its factorization.

67796640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 67796640 is about 8233.8715073773. The cubic root of 67796640 is about 407.7582189171.

The spelling of 67796640 in words is "sixty-seven million, seven hundred ninety-six thousand, six hundred forty".