61376580 has 72 divisors (see below), whose sum is σ = 187114200. Its totient is φ = 16284672.

The previous prime is 61376561. The next prime is 61376603. The reversal of 61376580 is 8567316.

61376580 is a `hidden beast` number, since 6 + 1 + 3 + 76 + 580 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10653696 + 50722884 = 3264^2 + 7122^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40476 + ... + 41964.

Almost surely, 2^61376580 is an apocalyptic number.

61376580 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 61376580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93557100).

61376580 is an abundant number, since it is smaller than the sum of its proper divisors (125737620).

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

61376580 is a wasteful number, since it uses less digits than its factorization.

61376580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 61376580 is about 7834.3206469993. The cubic root of 61376580 is about 394.4581150383.

The spelling of 61376580 in words is "sixty-one million, three hundred seventy-six thousand, five hundred eighty".