61311600 has 240 divisors, whose sum is σ = 249706240. Its totient is φ = 13996800.

The previous prime is 61311599. The next prime is 61311611. The reversal of 61311600 is 611316.

61311600 is a `hidden beast` number, since 61 + 3 + 1 + 1 + 600 = 666.

61311600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×61311600² = 7518224589120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75195 + ... + 76005.

Almost surely, 2^61311600 is an apocalyptic number.

61311600 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 61311600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124853120).

61311600 is an abundant number, since it is smaller than the sum of its proper divisors (188394640).

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

61311600 is a wasteful number, since it uses less digits than its factorization.

61311600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 61311600 is about 7830.1724118949. The cubic root of 61311600 is about 394.3188602975.

Adding to 61311600 its reverse (611316), we get a palindrome (61922916).

The spelling of 61311600 in words is "sixty-one million, three hundred eleven thousand, six hundred".