610753440 has 192 divisors, whose sum is σ = 2117187072. Its totient is φ = 146764800.

The previous prime is 610753433. The next prime is 610753463. The reversal of 610753440 is 44357016.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 610753398 and 610753407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 691239 + ... + 692121.

It is an arithmetic number, because the mean of its divisors is an integer number (11027016).

Almost surely, 2^610753440 is an apocalyptic number.

610753440 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 610753440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058593536).

610753440 is an abundant number, since it is smaller than the sum of its proper divisors (1506433632).

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

610753440 is a wasteful number, since it uses less digits than its factorization.

610753440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 610753440 is about 24713.4263104087. The cubic root of 610753440 is about 848.4416383540.

The spelling of 610753440 in words is "six hundred ten million, seven hundred fifty-three thousand, four hundred forty".