61708800 has 120 divisors (see below), whose sum is σ = 203978016. Its totient is φ = 16445440.

The previous prime is 61708763. The next prime is 61708807. The reversal of 61708800 is 880716.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61708807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37597 + ... + 39203.

Almost surely, 2^61708800 is an apocalyptic number.

61708800 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 61708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101989008).

61708800 is an abundant number, since it is smaller than the sum of its proper divisors (142269216).

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

61708800 is a wasteful number, since it uses less digits than its factorization.

61708800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 61708800 is about 7855.4948921121. The cubic root of 61708800 is about 395.1685442135.

The spelling of 61708800 in words is "sixty-one million, seven hundred eight thousand, eight hundred".