610727472 has 180 divisors, whose sum is σ = 1860908920. Its totient is φ = 191761920.

The previous prime is 610727459. The next prime is 610727477. The reversal of 610727472 is 274727016.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 not an unprimeable number, because it can be changed into a prime (610727477) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14895772 + ... + 14895812.

Almost surely, 2^610727472 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 610727472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930454460).

610727472 is an abundant number, since it is smaller than the sum of its proper divisors (1250181448).

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

610727472 is a wasteful number, since it uses less digits than its factorization.

610727472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 610727472 is about 24712.9009223927. The cubic root of 610727472 is about 848.4296135099.

The spelling of 610727472 in words is "six hundred ten million, seven hundred twenty-seven thousand, four hundred seventy-two".