618731460 has 84 divisors (see below), whose sum is σ = 1948158828. Its totient is φ = 164991168.

The previous prime is 618731437. The next prime is 618731461. The reversal of 618731460 is 64137816.

618731460 is a `hidden beast` number, since 618 + 7 + 31 + 4 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 492573636 + 126157824 = 22194^2 + 11232^2 .

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

It is not an unprimeable number, because it can be changed into a prime (618731461) 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 27 ways as a sum of consecutive naturals, for example, 6639 + ... + 35798.

It is an arithmetic number, because the mean of its divisors is an integer number (23192367).

Almost surely, 2^618731460 is an apocalyptic number.

618731460 is a gapful number since it is divisible by the number (60) 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 618731460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974079414).

618731460 is an abundant number, since it is smaller than the sum of its proper divisors (1329427368).

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

618731460 is a wasteful number, since it uses less digits than its factorization.

618731460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42464 (or 42447 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 618731460 is about 24874.3132568519. The cubic root of 618731460 is about 852.1199493886.

The spelling of 618731460 in words is "six hundred eighteen million, seven hundred thirty-one thousand, four hundred sixty".