61260960 has 192 divisors, whose sum is σ = 209018880. Its totient is φ = 15037440.

The previous prime is 61260949. The next prime is 61260967. The reversal of 61260960 is 6906216.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61260967) 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 31 ways as a sum of consecutive naturals, for example, 342151 + ... + 342329.

It is an arithmetic number, because the mean of its divisors is an integer number (1088640).

Almost surely, 2^61260960 is an apocalyptic number.

61260960 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 61260960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104509440).

61260960 is an abundant number, since it is smaller than the sum of its proper divisors (147757920).

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

61260960 is a wasteful number, since it uses less digits than its factorization.

61260960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 243 counting only the distinct ones).

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

The square root of 61260960 is about 7826.9380986437. The cubic root of 61260960 is about 394.2102685183.

The spelling of 61260960 in words is "sixty-one million, two hundred sixty thousand, nine hundred sixty".