117089280 has 528 divisors, whose sum is σ = 522721920. Its totient is φ = 24330240.

The previous prime is 117089279. The next prime is 117089281. The reversal of 117089280 is 82980711.

It is an interprime number because it is at equal distance from previous prime (117089279) and next prime (117089281).

It is a tau number, because it is divible by the number of its divisors (528).

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 (117089281) 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 47 ways as a sum of consecutive naturals, for example, 10644475 + ... + 10644485.

Almost surely, 2^117089280 is an apocalyptic number.

117089280 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 117089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261360960).

117089280 is an abundant number, since it is smaller than the sum of its proper divisors (405632640).

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

117089280 is a wasteful number, since it uses less digits than its factorization.

117089280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 117089280 is about 10820.7800088533. The cubic root of 117089280 is about 489.2216993143.

The spelling of 117089280 in words is "one hundred seventeen million, eighty-nine thousand, two hundred eighty".