61676160 has 256 divisors, whose sum is σ = 242645760. Its totient is φ = 12976128.

The previous prime is 61676159. The next prime is 61676161. The reversal of 61676160 is 6167616.

Added to its reverse (6167616) it gives a triangular number (67843776 = T₁₁₆₄₈).

It is an interprime number because it is at equal distance from previous prime (61676159) and next prime (61676161).

It is not an unprimeable number, because it can be changed into a prime (61676161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174544 + ... + 174896.

It is an arithmetic number, because the mean of its divisors is an integer number (947835).

Almost surely, 2^61676160 is an apocalyptic number.

61676160 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 61676160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121322880).

61676160 is an abundant number, since it is smaller than the sum of its proper divisors (180969600).

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

61676160 is a wasteful number, since it uses less digits than its factorization.

61676160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 61676160 is about 7853.4170906682. The cubic root of 61676160 is about 395.0988589818.

Adding to 61676160 its reverse (6167616), we get a triangular number (67843776 = T₁₁₆₄₈).

The spelling of 61676160 in words is "sixty-one million, six hundred seventy-six thousand, one hundred sixty".