610516480 has 240 divisors, whose sum is σ = 1768922496. Its totient is φ = 201277440.

The previous prime is 610516457. The next prime is 610516541. The reversal of 610516480 is 84615016.

610516480 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 3888562 + ... + 3888718.

Almost surely, 2^610516480 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 610516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884461248).

610516480 is an abundant number, since it is smaller than the sum of its proper divisors (1158406016).

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

610516480 is a wasteful number, since it uses less digits than its factorization.

610516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 610516480 is about 24708.6316901604. The cubic root of 610516480 is about 848.3318980869.

The spelling of 610516480 in words is "six hundred ten million, five hundred sixteen thousand, four hundred eighty".