116865504 has 288 divisors, whose sum is σ = 418279680. Its totient is φ = 31352832.

The previous prime is 116865491. The next prime is 116865517. The reversal of 116865504 is 405568611.

It is an interprime number because it is at equal distance from previous prime (116865491) and next prime (116865517).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1034152 + ... + 1034264.

It is an arithmetic number, because the mean of its divisors is an integer number (1452360).

Almost surely, 2^116865504 is an apocalyptic number.

116865504 is a gapful number since it is divisible by the number (14) 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 116865504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209139840).

116865504 is an abundant number, since it is smaller than the sum of its proper divisors (301414176).

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

116865504 is a wasteful number, since it uses less digits than its factorization.

116865504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 116865504 is about 10810.4349588719. The cubic root of 116865504 is about 488.9098407305.

The spelling of 116865504 in words is "one hundred sixteen million, eight hundred sixty-five thousand, five hundred four".