65998800 has 360 divisors, whose sum is σ = 274246336. Its totient is φ = 14929920.

The previous prime is 65998781. The next prime is 65998813. The reversal of 65998800 is 889956.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 680352 + ... + 680448.

Almost surely, 2^65998800 is an apocalyptic number.

65998800 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 65998800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137123168).

65998800 is an abundant number, since it is smaller than the sum of its proper divisors (208247536).

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

65998800 is a wasteful number, since it uses less digits than its factorization.

65998800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 65998800 is about 8123.9645494057. The cubic root of 65998800 is about 404.1215528110.

The spelling of 65998800 in words is "sixty-five million, nine hundred ninety-eight thousand, eight hundred".