116905464 has 256 divisors, whose sum is σ = 387072000. Its totient is φ = 32348160.

The previous prime is 116905429. The next prime is 116905471. The reversal of 116905464 is 464509611.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1479777 + ... + 1479855.

It is an arithmetic number, because the mean of its divisors is an integer number (1512000).

Almost surely, 2^116905464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116905464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193536000).

116905464 is an abundant number, since it is smaller than the sum of its proper divisors (270166536).

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

116905464 is a wasteful number, since it uses less digits than its factorization.

116905464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 116905464 is about 10812.2830151638. The cubic root of 116905464 is about 488.9655589428.

The spelling of 116905464 in words is "one hundred sixteen million, nine hundred five thousand, four hundred sixty-four".