61206960 has 80 divisors (see below), whose sum is σ = 190925280. Its totient is φ = 16220160.

The previous prime is 61206877. The next prime is 61207001. The reversal of 61206960 is 6960216.

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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42736 + ... + 44144.

It is an arithmetic number, because the mean of its divisors is an integer number (2386566).

Almost surely, 2^61206960 is an apocalyptic number.

61206960 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 61206960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95462640).

61206960 is an abundant number, since it is smaller than the sum of its proper divisors (129718320).

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

61206960 is a wasteful number, since it uses less digits than its factorization.

61206960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 61206960 is about 7823.4877132900. The cubic root of 61206960 is about 394.0944056462.

The spelling of 61206960 in words is "sixty-one million, two hundred six thousand, nine hundred sixty".