116538240 has 512 divisors, whose sum is σ = 493516800. Its totient is φ = 22708224.

The previous prime is 116538209. The next prime is 116538293. The reversal of 116538240 is 42835611.

It is a super-2 number, since 2×116538240² = 27162322764595200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 116538198 and 116538207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4018546 + ... + 4018574.

It is an arithmetic number, because the mean of its divisors is an integer number (963900).

Almost surely, 2^116538240 is an apocalyptic number.

116538240 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 116538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246758400).

116538240 is an abundant number, since it is smaller than the sum of its proper divisors (376978560).

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

116538240 is a wasteful number, since it uses less digits than its factorization.

116538240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 116538240 is about 10795.2878609141. The cubic root of 116538240 is about 488.4530416133.

The spelling of 116538240 in words is "one hundred sixteen million, five hundred thirty-eight thousand, two hundred forty".