116642400 has 288 divisors, whose sum is σ = 445471488. Its totient is φ = 25958400.

The previous prime is 116642371. The next prime is 116642401. The reversal of 116642400 is 4246611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116642401) 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, 890335 + ... + 890465.

It is an arithmetic number, because the mean of its divisors is an integer number (1546776).

Almost surely, 2^116642400 is an apocalyptic number.

116642400 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 116642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222735744).

116642400 is an abundant number, since it is smaller than the sum of its proper divisors (328829088).

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

116642400 is a wasteful number, since it uses less digits than its factorization.

116642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 116642400 is about 10800.1111105396. Note that the first 5 decimals coincide. The cubic root of 116642400 is about 488.5985220970.

The spelling of 116642400 in words is "one hundred sixteen million, six hundred forty-two thousand, four hundred".