67601664 has 216 divisors, whose sum is σ = 219112712. Its totient is φ = 19906560.

The previous prime is 67601663. The next prime is 67601671. The reversal of 67601664 is 46610676.

It can be written as a sum of positive squares in 4 ways, for example, as 1016064 + 66585600 = 1008^2 + 8160^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67601663) by changing a digit.

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, 1108194 + ... + 1108254.

Almost surely, 2^67601664 is an apocalyptic number.

67601664 is a gapful number since it is divisible by the number (64) 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 67601664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109556356).

67601664 is an abundant number, since it is smaller than the sum of its proper divisors (151511048).

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

67601664 is a wasteful number, since it uses less digits than its factorization.

67601664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 67601664 is about 8222.0231087002. The cubic root of 67601664 is about 407.3669536929.

It can be divided in two parts, 67601 and 664, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 67601664 in words is "sixty-seven million, six hundred one thousand, six hundred sixty-four".