61606320 has 80 divisors (see below), whose sum is σ = 192844800. Its totient is φ = 16268032.

The previous prime is 61606309. The next prime is 61606327. The reversal of 61606320 is 2360616.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61606327) 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, 24481 + ... + 26879.

It is an arithmetic number, because the mean of its divisors is an integer number (2410560).

Almost surely, 2^61606320 is an apocalyptic number.

61606320 is a gapful number since it is divisible by the number (60) 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 61606320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96422400).

61606320 is an abundant number, since it is smaller than the sum of its proper divisors (131238480).

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

61606320 is a wasteful number, since it uses less digits than its factorization.

61606320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522 (or 2516 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 61606320 is about 7848.9693590942. The cubic root of 61606320 is about 394.9496704555.

Adding to 61606320 its reverse (2360616), we get a palindrome (63966936).

The spelling of 61606320 in words is "sixty-one million, six hundred six thousand, three hundred twenty".