611880000 has 140 divisors (see below), whose sum is σ = 2023414800. Its totient is φ = 163136000.

The previous prime is 611879999. The next prime is 611880001. The reversal of 611880000 is 88116.

It is an interprime number because it is at equal distance from previous prime (611879999) and next prime (611880001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (611880001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 117451 + ... + 122549.

Almost surely, 2^611880000 is an apocalyptic number.

611880000 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 611880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011707400).

611880000 is an abundant number, since it is smaller than the sum of its proper divisors (1411534800).

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

611880000 is an equidigital number, since it uses as much as digits as its factorization.

611880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5134 (or 5109 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 611880000 is about 24736.2082785539. The cubic root of 611880000 is about 848.9629798467.

The spelling of 611880000 in words is "six hundred eleven million, eight hundred eighty thousand".