61599516 has 48 divisors (see below), whose sum is σ = 160151040. Its totient is φ = 18267520.

The previous prime is 61599491. The next prime is 61599523.

61599516 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1240 + ... + 11168.

It is an arithmetic number, because the mean of its divisors is an integer number (3336480).

Almost surely, 2^61599516 is an apocalyptic number.

61599516 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61599516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80075520).

61599516 is an abundant number, since it is smaller than the sum of its proper divisors (98551524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61599516 is a wasteful number, since it uses less digits than its factorization.

61599516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9994 (or 9992 counting only the distinct ones).

The product of its digits is 72900, while the sum is 42.

The square root of 61599516 is about 7848.5359144238. The cubic root of 61599516 is about 394.9351300831.

The spelling of 61599516 in words is "sixty-one million, five hundred ninety-nine thousand, five hundred sixteen".