611731680 has 288 divisors, whose sum is σ = 2316625920. Its totient is φ = 135152640.

The previous prime is 611731651. The next prime is 611731691. The reversal of 611731680 is 86137116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 728701 + ... + 729539.

It is an arithmetic number, because the mean of its divisors is an integer number (8043840).

Almost surely, 2^611731680 is an apocalyptic number.

611731680 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 611731680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158312960).

611731680 is an abundant number, since it is smaller than the sum of its proper divisors (1704894240).

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

611731680 is a wasteful number, since it uses less digits than its factorization.

611731680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 611731680 is about 24733.2100625859. The cubic root of 611731680 is about 848.8943779614.

Adding to 611731680 its reverse (86137116), we get a palindrome (697868796).

The spelling of 611731680 in words is "six hundred eleven million, seven hundred thirty-one thousand, six hundred eighty".