116661888 has 384 divisors, whose sum is σ = 435352320. Its totient is φ = 29196288.

The previous prime is 116661859. The next prime is 116661889. The reversal of 116661888 is 888166611.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×116661888² = 27219992223449088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (116661889) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3153006 + ... + 3153042.

It is an arithmetic number, because the mean of its divisors is an integer number (1133730).

Almost surely, 2^116661888 is an apocalyptic number.

116661888 is a gapful number since it is divisible by the number (18) 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 116661888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217676160).

116661888 is an abundant number, since it is smaller than the sum of its proper divisors (318690432).

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

116661888 is a wasteful number, since it uses less digits than its factorization.

116661888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 89 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 116661888 is about 10801.0132857987. The cubic root of 116661888 is about 488.6257314072.

The spelling of 116661888 in words is "one hundred sixteen million, six hundred sixty-one thousand, eight hundred eighty-eight".