116825280 has 448 divisors, whose sum is σ = 467002368. Its totient is φ = 24330240.

The previous prime is 116825249. The next prime is 116825321. The reversal of 116825280 is 82528611.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3157422 + ... + 3157458.

It is an arithmetic number, because the mean of its divisors is an integer number (1042416).

Almost surely, 2^116825280 is an apocalyptic number.

116825280 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 116825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233501184).

116825280 is an abundant number, since it is smaller than the sum of its proper divisors (350177088).

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

116825280 is a wasteful number, since it uses less digits than its factorization.

116825280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 116825280 is about 10808.5743740791. The cubic root of 116825280 is about 488.8537415810.

The spelling of 116825280 in words is "one hundred sixteen million, eight hundred twenty-five thousand, two hundred eighty".