610974140 has 72 divisors (see below), whose sum is σ = 1504581120. Its totient is φ = 207785088.

The previous prime is 610974137. The next prime is 610974167. The reversal of 610974140 is 41479016.

It is a junction number, because it is equal to n+sod(n) for n = 610974097 and 610974106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122006 + ... + 126914.

It is an arithmetic number, because the mean of its divisors is an integer number (20896960).

Almost surely, 2^610974140 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 610974140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752290560).

610974140 is an abundant number, since it is smaller than the sum of its proper divisors (893606980).

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

610974140 is a wasteful number, since it uses less digits than its factorization.

610974140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5059 (or 5050 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 610974140 is about 24717.8910912723. The cubic root of 610974140 is about 848.5438228074.

The spelling of 610974140 in words is "six hundred ten million, nine hundred seventy-four thousand, one hundred forty".