610990640 has 80 divisors (see below), whose sum is σ = 1555067136. Its totient is φ = 221875200.

The previous prime is 610990637. The next prime is 610990649. The reversal of 610990640 is 46099016.

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

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 610990640.

It is not an unprimeable number, because it can be changed into a prime (610990649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58625 + ... + 68255.

Almost surely, 2^610990640 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 610990640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777533568).

610990640 is an abundant number, since it is smaller than the sum of its proper divisors (944076496).

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

610990640 is a wasteful number, since it uses less digits than its factorization.

610990640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9718 (or 9712 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 610990640 is about 24718.2248553572. The cubic root of 610990640 is about 848.5514613452.

The spelling of 610990640 in words is "six hundred ten million, nine hundred ninety thousand, six hundred forty".