61082400 has 144 divisors (see below), whose sum is σ = 205486848. Its totient is φ = 15744000.

The previous prime is 61082393. The next prime is 61082407. The reversal of 61082400 is 428016.

It is an interprime number because it is at equal distance from previous prime (61082393) and next prime (61082407).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61082407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73990 + ... + 74810.

It is an arithmetic number, because the mean of its divisors is an integer number (1426992).

Almost surely, 2^61082400 is an apocalyptic number.

61082400 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 61082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102743424).

61082400 is an abundant number, since it is smaller than the sum of its proper divisors (144404448).

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

61082400 is a wasteful number, since it uses less digits than its factorization.

61082400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 61082400 is about 7815.5230151283. The cubic root of 61082400 is about 393.8268884870.

The spelling of 61082400 in words is "sixty-one million, eighty-two thousand, four hundred".