61577516 has 90 divisors (see below), whose sum is σ = 148145508. Its totient is φ = 22145760.

The previous prime is 61577513. The next prime is 61577543.

61577516 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 61577516.

It is not an unprimeable number, because it can be changed into a prime (61577513) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4736726 + ... + 4736738.

Almost surely, 2^61577516 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 61577516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74072754).

61577516 is an abundant number, since it is smaller than the sum of its proper divisors (86567992).

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

61577516 is a wasteful number, since it uses less digits than its factorization.

61577516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 33 counting only the distinct ones).

The product of its digits is 44100, while the sum is 38.

The square root of 61577516 is about 7847.1342539809. The cubic root of 61577516 is about 394.8881080285. Note that the first 3 decimals are identical.

The spelling of 61577516 in words is "sixty-one million, five hundred seventy-seven thousand, five hundred sixteen".