61655616 has 168 divisors, whose sum is σ = 198753984. Its totient is φ = 18109440.

The previous prime is 61655603. The next prime is 61655623.

61655616 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 234301 + ... + 234563.

Almost surely, 2^61655616 is an apocalyptic number.

61655616 is a gapful number since it is divisible by the number (66) 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 61655616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99376992).

61655616 is an abundant number, since it is smaller than the sum of its proper divisors (137098368).

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

61655616 is a wasteful number, since it uses less digits than its factorization.

61655616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 316 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 61655616 is about 7852.1090160542. The cubic root of 61655616 is about 395.0549856691.

It can be divided in two parts, 6165 and 5616, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 61655616 in words is "sixty-one million, six hundred fifty-five thousand, six hundred sixteen".