61600080 has 160 divisors (see below), whose sum is σ = 201129984. Its totient is φ = 15579648.

The previous prime is 61600067. The next prime is 61600087. The reversal of 61600080 is 8000616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61600087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484977 + ... + 485103.

Almost surely, 2^61600080 is an apocalyptic number.

61600080 is a gapful number since it is divisible by the number (60) 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 61600080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100564992).

61600080 is an abundant number, since it is smaller than the sum of its proper divisors (139529904).

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

61600080 is a wasteful number, since it uses less digits than its factorization.

61600080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 61600080 is about 7848.5718446097. The cubic root of 61600080 is about 394.9363354104.

Adding to 61600080 its reverse (8000616), we get a palindrome (69600696).

The spelling of 61600080 in words is "sixty-one million, six hundred thousand, eighty".