731601000 has 384 divisors, whose sum is σ = 2751184800. Its totient is φ = 175219200.

The previous prime is 731600983. The next prime is 731601019. The reversal of 731601000 is 106137.

731601000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 493639524 + 237961476 = 22218^2 + 15426^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19772982 + ... + 19773018.

Almost surely, 2^731601000 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 731601000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375592400).

731601000 is an abundant number, since it is smaller than the sum of its proper divisors (2019583800).

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

731601000 is a wasteful number, since it uses less digits than its factorization.

731601000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 731601000 is about 27048.1237796635. The cubic root of 731601000 is about 901.0690998957.

Adding to 731601000 its reverse (106137), we get a palindrome (731707137).

The spelling of 731601000 in words is "seven hundred thirty-one million, six hundred one thousand".