230729616 has 180 divisors, whose sum is σ = 737490000. Its totient is φ = 67122432.

The previous prime is 230729599. The next prime is 230729641. The reversal of 230729616 is 616927032.

230729616 is a `hidden beast` number, since 2 + 30 + 7 + 2 + 9 + 616 = 666.

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

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 462135 + ... + 462633.

Almost surely, 2^230729616 is an apocalyptic number.

230729616 is a gapful number since it is divisible by the number (26) 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 230729616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368745000).

230729616 is an abundant number, since it is smaller than the sum of its proper divisors (506760384).

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

230729616 is a wasteful number, since it uses less digits than its factorization.

230729616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 230729616 is about 15189.7865686125. The cubic root of 230729616 is about 613.3397536610.

The spelling of 230729616 in words is "two hundred thirty million, seven hundred twenty-nine thousand, six hundred sixteen".