58400661 has 32 divisors (see below), whose sum is σ = 94694400. Its totient is φ = 31553280.

The previous prime is 58400659. The next prime is 58400663. The reversal of 58400661 is 16600485.

It is an interprime number because it is at equal distance from previous prime (58400659) and next prime (58400663).

It is not a de Polignac number, because 58400661 - 2¹ = 58400659 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58400663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7920 + ... + 13398.

It is an arithmetic number, because the mean of its divisors is an integer number (2959200).

Almost surely, 2^58400661 is an apocalyptic number.

58400661 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

58400661 is a deficient number, since it is larger than the sum of its proper divisors (36293739).

58400661 is a wasteful number, since it uses less digits than its factorization.

58400661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5529.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 58400661 is about 7642.0325175963. The cubic root of 58400661 is about 387.9769466765.

The spelling of 58400661 in words is "fifty-eight million, four hundred thousand, six hundred sixty-one".