61408800 has 144 divisors (see below), whose sum is σ = 222173280. Its totient is φ = 16369920.

The previous prime is 61408769. The next prime is 61408801. The reversal of 61408800 is 880416.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (61408801) 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, 20179 + ... + 23021.

It is an arithmetic number, because the mean of its divisors is an integer number (1542870).

Almost surely, 2^61408800 is an apocalyptic number.

61408800 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 61408800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111086640).

61408800 is an abundant number, since it is smaller than the sum of its proper divisors (160764480).

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

61408800 is a wasteful number, since it uses less digits than its factorization.

61408800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872 (or 2853 counting only the distinct ones).

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

The square root of 61408800 is about 7836.3767137626. The cubic root of 61408800 is about 394.5271273399.

The spelling of 61408800 in words is "sixty-one million, four hundred eight thousand, eight hundred".