61864800 has 144 divisors (see below), whose sum is σ = 203893200. Its totient is φ = 16291840.

The previous prime is 61864793. The next prime is 61864837. The reversal of 61864800 is 846816.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357514 + ... + 357686.

It is an arithmetic number, because the mean of its divisors is an integer number (1415925).

Almost surely, 2^61864800 is an apocalyptic number.

61864800 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 61864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101946600).

61864800 is an abundant number, since it is smaller than the sum of its proper divisors (142028400).

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

61864800 is a wasteful number, since it uses less digits than its factorization.

61864800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 61864800 is about 7865.4179799932. The cubic root of 61864800 is about 395.5012596901.

The spelling of 61864800 in words is "sixty-one million, eight hundred sixty-four thousand, eight hundred".