611280240 has 80 divisors (see below), whose sum is σ = 1904640000. Its totient is φ = 162176256.

The previous prime is 611280239. The next prime is 611280253. The reversal of 611280240 is 42082116.

611280240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 611280240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41361 + ... + 54159.

It is an arithmetic number, because the mean of its divisors is an integer number (23808000).

Almost surely, 2^611280240 is an apocalyptic number.

611280240 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 611280240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952320000).

611280240 is an abundant number, since it is smaller than the sum of its proper divisors (1293359760).

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

611280240 is a wasteful number, since it uses less digits than its factorization.

611280240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13014 (or 13008 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 611280240 is about 24724.0821872117. The cubic root of 611280240 is about 848.6855068725.

The spelling of 611280240 in words is "six hundred eleven million, two hundred eighty thousand, two hundred forty".