610072736 has 108 divisors (see below), whose sum is σ = 1513398222. Its totient is φ = 239952384.

The previous prime is 610072733. The next prime is 610072763. The reversal of 610072736 is 637270016.

It can be written as a sum of positive squares in 3 ways, for example, as 602997136 + 7075600 = 24556^2 + 2660^2 .

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

It is not an unprimeable number, because it can be changed into a prime (610072733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3526346 + ... + 3526518.

Almost surely, 2^610072736 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 610072736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756699111).

610072736 is an abundant number, since it is smaller than the sum of its proper divisors (903325486).

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

610072736 is a wasteful number, since it uses less digits than its factorization.

610072736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 610072736 is about 24699.6505238434. The cubic root of 610072736 is about 848.1263161780.

The spelling of 610072736 in words is "six hundred ten million, seventy-two thousand, seven hundred thirty-six".