116437776 has 320 divisors, whose sum is σ = 413306880. Its totient is φ = 27371520.

The previous prime is 116437771. The next prime is 116437793. The reversal of 116437776 is 677734611.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 (116437771) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1908786 + ... + 1908846.

It is an arithmetic number, because the mean of its divisors is an integer number (1291584).

Almost surely, 2^116437776 is an apocalyptic number.

116437776 is a gapful number since it is divisible by the number (16) 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 116437776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206653440).

116437776 is an abundant number, since it is smaller than the sum of its proper divisors (296869104).

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

116437776 is a wasteful number, since it uses less digits than its factorization.

116437776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 128 counting only the distinct ones).

The product of its digits is 148176, while the sum is 42.

The square root of 116437776 is about 10790.6337163301. The cubic root of 116437776 is about 488.3126411911.

The spelling of 116437776 in words is "one hundred sixteen million, four hundred thirty-seven thousand, seven hundred seventy-six".