611251440 has 160 divisors (see below), whose sum is σ = 1943685120. Its totient is φ = 158865408.

The previous prime is 611251423. The next prime is 611251441. The reversal of 611251440 is 44152116.

It is a happy number.

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 611251440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (611251441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1952724 + ... + 1953036.

It is an arithmetic number, because the mean of its divisors is an integer number (12148032).

Almost surely, 2^611251440 is an apocalyptic number.

611251440 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 611251440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971842560).

611251440 is an abundant number, since it is smaller than the sum of its proper divisors (1332433680).

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

611251440 is a wasteful number, since it uses less digits than its factorization.

611251440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 611251440 is about 24723.4997522600. The cubic root of 611251440 is about 848.6721782742.

The spelling of 611251440 in words is "six hundred eleven million, two hundred fifty-one thousand, four hundred forty".