117282960 has 240 divisors, whose sum is σ = 420441840. Its totient is φ = 29245440.

The previous prime is 117282959. The next prime is 117282961. The reversal of 117282960 is 69282711.

It is an interprime number because it is at equal distance from previous prime (117282959) and next prime (117282961).

It can be written as a sum of positive squares in 8 ways, for example, as 10036224 + 107246736 = 3168^2 + 10356^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (117282961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 856012 + ... + 856148.

It is an arithmetic number, because the mean of its divisors is an integer number (1751841).

Almost surely, 2^117282960 is an apocalyptic number.

117282960 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 117282960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210220920).

117282960 is an abundant number, since it is smaller than the sum of its proper divisors (303158880).

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

117282960 is a wasteful number, since it uses less digits than its factorization.

117282960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 117282960 is about 10829.7257583006. The cubic root of 117282960 is about 489.4912949101.

It can be divided in two parts, 1172829 and 60, that added together give a square (1172889 = 1083²).

The spelling of 117282960 in words is "one hundred seventeen million, two hundred eighty-two thousand, nine hundred sixty".