61677616 has 80 divisors (see below), whose sum is σ = 160489728. Its totient is φ = 22176000.

The previous prime is 61677613. The next prime is 61677643.

61677616 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (61677613) 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, 14091 + ... + 17941.

Almost surely, 2^61677616 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 61677616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80244864).

61677616 is an abundant number, since it is smaller than the sum of its proper divisors (98812112).

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

61677616 is a wasteful number, since it uses less digits than its factorization.

61677616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3890 (or 3884 counting only the distinct ones).

The product of its digits is 63504, while the sum is 40.

The square root of 61677616 is about 7853.5097886232. The cubic root of 61677616 is about 395.1019680135.

The spelling of 61677616 in words is "sixty-one million, six hundred seventy-seven thousand, six hundred sixteen".