60760 has 48 divisors (see below), whose sum is σ = 164160. Its totient is φ = 20160.

The previous prime is 60757. The next prime is 60761. The reversal of 60760 is 6706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1945 + ... + 1975.

It is an arithmetic number, because the mean of its divisors is an integer number (3420).

2⁶⁰⁷⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82080).

60760 is an abundant number, since it is smaller than the sum of its proper divisors (103400).

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

60760 is a wasteful number, since it uses less digits than its factorization.

60760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 60760 is about 246.4954360632. The cubic root of 60760 is about 39.3132777836.

Multiplying 60760 by its sum of digits (19), we get a triangular number (1154440 = T₁₅₁₉).

It can be divided in two parts, 60 and 760, that added together give a triangular number (820 = T₄₀).

The spelling of 60760 in words is "sixty thousand, seven hundred sixty".