61071680 has 56 divisors (see below), whose sum is σ = 150464520. Its totient is φ = 23582720.

The previous prime is 61071679. The next prime is 61071691. The reversal of 61071680 is 8617016.

It can be written as a sum of positive squares in 4 ways, for example, as 2334784 + 58736896 = 1528^2 + 7664^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5990 + ... + 12570.

Almost surely, 2^61071680 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 61071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75232260).

61071680 is an abundant number, since it is smaller than the sum of its proper divisors (89392840).

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

61071680 is a wasteful number, since it uses less digits than its factorization.

61071680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6627 (or 6617 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 61071680 is about 7814.8371704086. The cubic root of 61071680 is about 393.8038481827.

Adding to 61071680 its reverse (8617016), we get a palindrome (69688696).

The spelling of 61071680 in words is "sixty-one million, seventy-one thousand, six hundred eighty".