61187616 has 192 divisors, whose sum is σ = 208373760. Its totient is φ = 17107200.

The previous prime is 61187569. The next prime is 61187617. The reversal of 61187616 is 61678116.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (61187617) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 405141 + ... + 405291.

It is an arithmetic number, because the mean of its divisors is an integer number (1085280).

Almost surely, 2^61187616 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 61187616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104186880).

61187616 is an abundant number, since it is smaller than the sum of its proper divisors (147186144).

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

61187616 is a wasteful number, since it uses less digits than its factorization.

61187616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 230 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 61187616 is about 7822.2513383296. The cubic root of 61187616 is about 394.0528844127.

The spelling of 61187616 in words is "sixty-one million, one hundred eighty-seven thousand, six hundred sixteen".