61277216 has 96 divisors (see below), whose sum is σ = 162062208. Its totient is φ = 22026240.

The previous prime is 61277213. The next prime is 61277233.

61277216 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (61277213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31076 + ... + 32988.

It is an arithmetic number, because the mean of its divisors is an integer number (1688148).

Almost surely, 2^61277216 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 61277216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81031104).

61277216 is an abundant number, since it is smaller than the sum of its proper divisors (100784992).

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

61277216 is a wasteful number, since it uses less digits than its factorization.

61277216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1946 counting only the distinct ones).

The product of its digits is 7056, while the sum is 32.

The square root of 61277216 is about 7827.9764945994. The cubic root of 61277216 is about 394.2451341999.

The spelling of 61277216 in words is "sixty-one million, two hundred seventy-seven thousand, two hundred sixteen".