116953200 has 720 divisors, whose sum is σ = 552152160. Its totient is φ = 23224320.

The previous prime is 116953181. The next prime is 116953211. The reversal of 116953200 is 2359611.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6879592 + ... + 6879608.

It is an arithmetic number, because the mean of its divisors is an integer number (766878).

Almost surely, 2^116953200 is an apocalyptic number.

116953200 is a gapful number since it is divisible by the number (10) 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 116953200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276076080).

116953200 is an abundant number, since it is smaller than the sum of its proper divisors (435198960).

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

116953200 is a wasteful number, since it uses less digits than its factorization.

116953200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 116953200 is about 10814.4902792503. The cubic root of 116953200 is about 489.0321029773.

The spelling of 116953200 in words is "one hundred sixteen million, nine hundred fifty-three thousand, two hundred".