117961800 has 192 divisors, whose sum is σ = 406848960. Its totient is φ = 28032000.

The previous prime is 117961799. The next prime is 117961807. The reversal of 117961800 is 8169711.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117961807) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 402454 + ... + 402746.

It is an arithmetic number, because the mean of its divisors is an integer number (2119005).

Almost surely, 2^117961800 is an apocalyptic number.

117961800 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 117961800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203424480).

117961800 is an abundant number, since it is smaller than the sum of its proper divisors (288887160).

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

117961800 is a wasteful number, since it uses less digits than its factorization.

117961800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 33.

The square root of 117961800 is about 10861.0220513541. The cubic root of 117961800 is about 490.4338792019.

The spelling of 117961800 in words is "one hundred seventeen million, nine hundred sixty-one thousand, eight hundred".