61376 has 28 divisors (see below), whose sum is σ = 140208. Its totient is φ = 26112.

The previous prime is 61363. The next prime is 61379. The reversal of 61376 is 67316.

It is a tau number, because it is divible by the number of its divisors (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61379) by changing a digit.

61376 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 380 + ... + 516.

2⁶¹³⁷⁶ 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 61376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70104).

61376 is an abundant number, since it is smaller than the sum of its proper divisors (78832).

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

61376 is a wasteful number, since it uses less digits than its factorization.

61376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 146 counting only the distinct ones).

The product of its digits is 756, while the sum is 23.

The square root of 61376 is about 247.7418010752. The cubic root of 61376 is about 39.4456872510.

It can be divided in two parts, 6 and 1376, that multiplied together give a triangular number (8256 = T₁₂₈).

The spelling of 61376 in words is "sixty-one thousand, three hundred seventy-six".