61169760 has 144 divisors (see below), whose sum is σ = 211223376. Its totient is φ = 16118784.

The previous prime is 61169753. The next prime is 61169761. The reversal of 61169760 is 6796116.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61169761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153882 + ... + 154278.

It is an arithmetic number, because the mean of its divisors is an integer number (1466829).

Almost surely, 2^61169760 is an apocalyptic number.

61169760 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 61169760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105611688).

61169760 is an abundant number, since it is smaller than the sum of its proper divisors (150053616).

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

61169760 is a wasteful number, since it uses less digits than its factorization.

61169760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 61169760 is about 7821.1098956606. The cubic root of 61169760 is about 394.0145493524.

It can be divided in two parts, 6116 and 9760, that added together give a square (15876 = 126²).

The spelling of 61169760 in words is "sixty-one million, one hundred sixty-nine thousand, seven hundred sixty".