61120400 has 120 divisors (see below), whose sum is σ = 166060800. Its totient is φ = 21414400.

The previous prime is 61120399. The next prime is 61120417. The reversal of 61120400 is 402116.

61120400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 127361 + ... + 127839.

It is an arithmetic number, because the mean of its divisors is an integer number (1383840).

Almost surely, 2^61120400 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 61120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83030400).

61120400 is an abundant number, since it is smaller than the sum of its proper divisors (104940400).

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

61120400 is a wasteful number, since it uses less digits than its factorization.

61120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 61120400 is about 7817.9536964605. The cubic root of 61120400 is about 393.9085394997.

Adding to 61120400 its reverse (402116), we get a palindrome (61522516).

The spelling of 61120400 in words is "sixty-one million, one hundred twenty thousand, four hundred".