116003664 has 200 divisors, whose sum is σ = 404507840. Its totient is φ = 31352832.

The previous prime is 116003633. The next prime is 116003707. The reversal of 116003664 is 466300611.

It is a super-2 number, since 2×116003664² = 26913700122849792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 172032 + ... + 172704.

Almost surely, 2^116003664 is an apocalyptic number.

116003664 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 116003664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202253920).

116003664 is an abundant number, since it is smaller than the sum of its proper divisors (288504176).

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

116003664 is a wasteful number, since it uses less digits than its factorization.

116003664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 116003664 is about 10770.4997098556. The cubic root of 116003664 is about 487.7050309165.

The spelling of 116003664 in words is "one hundred sixteen million, three thousand, six hundred sixty-four".