61118400 has 336 divisors, whose sum is σ = 244912896. Its totient is φ = 13025280.

The previous prime is 61118389. The next prime is 61118411. The reversal of 61118400 is 481116.

It is an interprime number because it is at equal distance from previous prime (61118389) and next prime (61118411).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 571147 + ... + 571253.

Almost surely, 2^61118400 is an apocalyptic number.

61118400 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 61118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122456448).

61118400 is an abundant number, since it is smaller than the sum of its proper divisors (183794496).

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

61118400 is a wasteful number, since it uses less digits than its factorization.

61118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 61118400 is about 7817.8257847051. The cubic root of 61118400 is about 393.9042429218.

Adding to 61118400 its reverse (481116), we get a palindrome (61599516).

The spelling of 61118400 in words is "sixty-one million, one hundred eighteen thousand, four hundred".