61606401 has 16 divisors (see below), whose sum is σ = 85440960. Its totient is φ = 39453120.

The previous prime is 61606399. The next prime is 61606409. The reversal of 61606401 is 10460616.

It is not a de Polignac number, because 61606401 - 2¹ = 61606399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61606409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3955 + ... + 11783.

It is an arithmetic number, because the mean of its divisors is an integer number (5340060).

Almost surely, 2^61606401 is an apocalyptic number.

61606401 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

61606401 is a deficient number, since it is larger than the sum of its proper divisors (23834559).

61606401 is a wasteful number, since it uses less digits than its factorization.

61606401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7936.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 61606401 is about 7848.9745190057. The cubic root of 61606401 is about 394.9498435487.

It can be divided in two parts, 6160 and 6401, that added together give a triangular number (12561 = T₁₅₈).

The spelling of 61606401 in words is "sixty-one million, six hundred six thousand, four hundred one".