61600007 has 24 divisors (see below), whose sum is σ = 74856960. Its totient is φ = 50485680.

The previous prime is 61599991. The next prime is 61600009. The reversal of 61600007 is 70000616.

It is not a de Polignac number, because 61600007 - 2⁴ = 61599991 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61600009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162344 + ... + 162722.

It is an arithmetic number, because the mean of its divisors is an integer number (3119040).

Almost surely, 2^61600007 is an apocalyptic number.

61600007 is a deficient number, since it is larger than the sum of its proper divisors (13256953).

61600007 is a wasteful number, since it uses less digits than its factorization.

61600007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 61600007 is about 7848.5671940807. The cubic root of 61600007 is about 394.9361794022.

The spelling of 61600007 in words is "sixty-one million, six hundred thousand, seven".