61605960 has 256 divisors, whose sum is σ = 222082560. Its totient is φ = 13516800.

The previous prime is 61605953. The next prime is 61605967. The reversal of 61605960 is 6950616.

It is an interprime number because it is at equal distance from previous prime (61605953) and next prime (61605967).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (61605967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 609910 + ... + 610010.

It is an arithmetic number, because the mean of its divisors is an integer number (867510).

Almost surely, 2^61605960 is an apocalyptic number.

61605960 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 61605960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111041280).

61605960 is an abundant number, since it is smaller than the sum of its proper divisors (160476600).

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

61605960 is a wasteful number, since it uses less digits than its factorization.

61605960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 61605960 is about 7848.9464261135. The cubic root of 61605960 is about 394.9489011504.

The spelling of 61605960 in words is "sixty-one million, six hundred five thousand, nine hundred sixty".