61711080 has 128 divisors (see below), whose sum is σ = 195333120. Its totient is φ = 15575040.

The previous prime is 61711057. The next prime is 61711121. The reversal of 61711080 is 8011716.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 61711080.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197004 + ... + 197316.

It is an arithmetic number, because the mean of its divisors is an integer number (1526040).

Almost surely, 2^61711080 is an apocalyptic number.

61711080 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 61711080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97666560).

61711080 is an abundant number, since it is smaller than the sum of its proper divisors (133622040).

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

61711080 is a wasteful number, since it uses less digits than its factorization.

61711080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

The square root of 61711080 is about 7855.6400121187. The cubic root of 61711080 is about 395.1734110136.

Adding to 61711080 its reverse (8011716), we get a palindrome (69722796).

The spelling of 61711080 in words is "sixty-one million, seven hundred eleven thousand, eighty".