116348400 has 480 divisors, whose sum is σ = 504332800. Its totient is φ = 25194240.

The previous prime is 116348371. The next prime is 116348423. The reversal of 116348400 is 4843611.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6123591 + ... + 6123609.

Almost surely, 2^116348400 is an apocalyptic number.

116348400 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 116348400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252166400).

116348400 is an abundant number, since it is smaller than the sum of its proper divisors (387984400).

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

116348400 is an equidigital number, since it uses as much as digits as its factorization.

116348400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 116348400 is about 10786.4915519366. The cubic root of 116348400 is about 488.1876685704.

The spelling of 116348400 in words is "one hundred sixteen million, three hundred forty-eight thousand, four hundred".