116379648 has 312 divisors, whose sum is σ = 429339456. Its totient is φ = 29491200.

The previous prime is 116379589. The next prime is 116379667. The reversal of 116379648 is 846973611.

It is a happy number.

116379648 is a `hidden beast` number, since 1 + 1 + 637 + 9 + 6 + 4 + 8 = 666.

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

Its product of digits (217728) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2838508 + ... + 2838548.

It is an arithmetic number, because the mean of its divisors is an integer number (1376088).

Almost surely, 2^116379648 is an apocalyptic number.

116379648 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 116379648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214669728).

116379648 is an abundant number, since it is smaller than the sum of its proper divisors (312959808).

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

116379648 is a wasteful number, since it uses less digits than its factorization.

116379648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 64 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 116379648 is about 10787.9399330920. The cubic root of 116379648 is about 488.2313692796.

The spelling of 116379648 in words is "one hundred sixteen million, three hundred seventy-nine thousand, six hundred forty-eight".