116667600 has 480 divisors, whose sum is σ = 487111680. Its totient is φ = 23224320.

The previous prime is 116667587. The next prime is 116667613. The reversal of 116667600 is 6766611.

It is an interprime number because it is at equal distance from previous prime (116667587) and next prime (116667613).

It is a super-2 number, since 2×116667600² = 27222657779520000, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 2713179 + ... + 2713221.

It is an arithmetic number, because the mean of its divisors is an integer number (1014816).

Almost surely, 2^116667600 is an apocalyptic number.

116667600 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 116667600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243555840).

116667600 is an abundant number, since it is smaller than the sum of its proper divisors (370444080).

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

116667600 is a wasteful number, since it uses less digits than its factorization.

116667600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 116667600 is about 10801.2777021980. The cubic root of 116667600 is about 488.6337059757.

The spelling of 116667600 in words is "one hundred sixteen million, six hundred sixty-seven thousand, six hundred".