610788640 has 144 divisors (see below), whose sum is σ = 1813081536. Its totient is φ = 190333440.

The previous prime is 610788623. The next prime is 610788643. The reversal of 610788640 is 46887016.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 610788593 and 610788602.

It is not an unprimeable number, because it can be changed into a prime (610788643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133267 + ... + 137773.

It is an arithmetic number, because the mean of its divisors is an integer number (12590844).

Almost surely, 2^610788640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 610788640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906540768).

610788640 is an abundant number, since it is smaller than the sum of its proper divisors (1202292896).

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

610788640 is a wasteful number, since it uses less digits than its factorization.

610788640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4551 (or 4532 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 610788640 is about 24714.1384636406. The cubic root of 610788640 is about 848.4579376602.

The spelling of 610788640 in words is "six hundred ten million, seven hundred eighty-eight thousand, six hundred forty".