66767064 has 128 divisors (see below), whose sum is σ = 216384000. Its totient is φ = 16671744.

The previous prime is 66767053. The next prime is 66767069. The reversal of 66767064 is 46076766.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66767069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40692 + ... + 42300.

It is an arithmetic number, because the mean of its divisors is an integer number (1690500).

Almost surely, 2^66767064 is an apocalyptic number.

66767064 is the 4368-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66767064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108192000).

66767064 is an abundant number, since it is smaller than the sum of its proper divisors (149616936).

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

66767064 is a wasteful number, since it uses less digits than its factorization.

66767064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 66767064 is about 8171.1115522920. Note that the first 3 decimals coincide. The cubic root of 66767064 is about 405.6835765668.

It can be divided in two parts, 6 and 6767064, that multiplied together give a square (40602384 = 6372²).

The spelling of 66767064 in words is "sixty-six million, seven hundred sixty-seven thousand, sixty-four".