61641567 has 72 divisors (see below), whose sum is σ = 106579200. Its totient is φ = 35481888.

The previous prime is 61641563. The next prime is 61641589. The reversal of 61641567 is 76514616.

61641567 is a `hidden beast` number, since 6 + 1 + 641 + 5 + 6 + 7 = 666.

It is not a de Polignac number, because 61641567 - 2² = 61641563 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61641563) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 780234 + ... + 780312.

Almost surely, 2^61641567 is an apocalyptic number.

61641567 is a deficient number, since it is larger than the sum of its proper divisors (44937633).

61641567 is a wasteful number, since it uses less digits than its factorization.

61641567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 114 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 61641567 is about 7851.2143646700. The cubic root of 61641567 is about 395.0249773235.

The spelling of 61641567 in words is "sixty-one million, six hundred forty-one thousand, five hundred sixty-seven".