61140960 has 96 divisors (see below), whose sum is σ = 214008480. Its totient is φ = 16303104.

The previous prime is 61140929. The next prime is 61140991. The reversal of 61140960 is 6904116.

61140960 is a `hidden beast` number, since 611 + 40 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61140929) and next prime (61140991).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 2757 + ... + 11396.

It is an arithmetic number, because the mean of its divisors is an integer number (2229255).

Almost surely, 2^61140960 is an apocalyptic number.

61140960 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 61140960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107004240).

61140960 is an abundant number, since it is smaller than the sum of its proper divisors (152867520).

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

61140960 is a wasteful number, since it uses less digits than its factorization.

61140960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14177 (or 14163 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 61140960 is about 7819.2685079872. The cubic root of 61140960 is about 393.9527028867.

The spelling of 61140960 in words is "sixty-one million, one hundred forty thousand, nine hundred sixty".