116729600 has 216 divisors, whose sum is σ = 329999712. Its totient is φ = 40550400.

The previous prime is 116729593. The next prime is 116729603. The reversal of 116729600 is 6927611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116729603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1913570 + ... + 1913630.

Almost surely, 2^116729600 is an apocalyptic number.

116729600 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 116729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164999856).

116729600 is an abundant number, since it is smaller than the sum of its proper divisors (213270112).

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

116729600 is a wasteful number, since it uses less digits than its factorization.

116729600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 116729600 is about 10804.1473518274. The cubic root of 116729600 is about 488.7202479256.

The spelling of 116729600 in words is "one hundred sixteen million, seven hundred twenty-nine thousand, six hundred".