61822800 has 180 divisors, whose sum is σ = 231220444. Its totient is φ = 15206400.

The previous prime is 61822771. The next prime is 61822811. The reversal of 61822800 is 822816.

It can be written as a sum of positive squares in 6 ways, for example, as 419904 + 61402896 = 648^2 + 7836^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46140 + ... + 47460.

Almost surely, 2^61822800 is an apocalyptic number.

61822800 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 61822800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115610222).

61822800 is an abundant number, since it is smaller than the sum of its proper divisors (169397644).

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

61822800 is a wasteful number, since it uses less digits than its factorization.

61822800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 61822800 is about 7862.7476113633. The cubic root of 61822800 is about 395.4117375202.

The spelling of 61822800 in words is "sixty-one million, eight hundred twenty-two thousand, eight hundred".