67716441 has 27 divisors (see below), whose sum is σ = 106419807. Its totient is φ = 41474160.

The previous prime is 67716433. The next prime is 67716487. The reversal of 67716441 is 14461776.

The square root of 67716441 is 8229.

It is a perfect power (a square), and thus also a powerful number.

67716441 is a `hidden beast` number, since 6 + 7 + 7 + 1 + 644 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10017225 + 57699216 = 3165^2 + 7596^2 .

It is not a de Polignac number, because 67716441 - 2³ = 67716433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 67716396 and 67716405.

It is not an unprimeable number, because it can be changed into a prime (67716541) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 320826 + ... + 321036.

Almost surely, 2^67716441 is an apocalyptic number.

67716441 is the 8229-th square number.

67716441 is the 4115-th centered octagonal number.

It is an amenable number.

67716441 is a deficient number, since it is larger than the sum of its proper divisors (38703366).

67716441 is a wasteful number, since it uses less digits than its factorization.

67716441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 227 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The cubic root of 67716441 is about 407.5973716903.

Multiplying 67716441 by its sum of digits (36), we get a square (2437791876 = 49374²).

Multiplying 67716441 by its product of digits (28224), we get a square (1911228830784 = 1382472²).

The spelling of 67716441 in words is "sixty-seven million, seven hundred sixteen thousand, four hundred forty-one".