61115600 has 240 divisors, whose sum is σ = 191154432. Its totient is φ = 18247680.

The previous prime is 61115597. The next prime is 61115611. The reversal of 61115600 is 651116.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 837164 + ... + 837236.

Almost surely, 2^61115600 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 61115600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95577216).

61115600 is an abundant number, since it is smaller than the sum of its proper divisors (130038832).

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

61115600 is a wasteful number, since it uses less digits than its factorization.

61115600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 61115600 is about 7817.6467047315. The cubic root of 61115600 is about 393.8982275553.

Adding to 61115600 its reverse (651116), we get a palindrome (61766716).

It can be divided in two parts, 6111 and 5600, that added together give a palindrome (11711).

The spelling of 61115600 in words is "sixty-one million, one hundred fifteen thousand, six hundred".