61776001 has 16 divisors (see below), whose sum is σ = 72843264. Its totient is φ = 51292944.

The previous prime is 61775969. The next prime is 61776017. The reversal of 61776001 is 10067716.

It is a cyclic number.

It is not a de Polignac number, because 61776001 - 2⁵ = 61775969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61776901) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 32976 + ... + 34798.

It is an arithmetic number, because the mean of its divisors is an integer number (4552704).

Almost surely, 2^61776001 is an apocalyptic number.

It is an amenable number.

61776001 is a deficient number, since it is larger than the sum of its proper divisors (11067263).

61776001 is a wasteful number, since it uses less digits than its factorization.

61776001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980.

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 61776001 is about 7859.7710526452. The cubic root of 61776001 is about 395.3119386047.

The spelling of 61776001 in words is "sixty-one million, seven hundred seventy-six thousand, one".