610517472 has 96 divisors (see below), whose sum is σ = 1662603264. Its totient is φ = 195955200.

The previous prime is 610517471. The next prime is 610517477. The reversal of 610517472 is 274715016.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610517471) 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, 806118 + ... + 806874.

It is an arithmetic number, because the mean of its divisors is an integer number (17318784).

Almost surely, 2^610517472 is an apocalyptic number.

610517472 is a gapful number since it is divisible by the number (62) 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 610517472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831301632).

610517472 is an abundant number, since it is smaller than the sum of its proper divisors (1052085792).

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

610517472 is a wasteful number, since it uses less digits than its factorization.

610517472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 610517472 is about 24708.6517641089. The cubic root of 610517472 is about 848.3323575584.

The spelling of 610517472 in words is "six hundred ten million, five hundred seventeen thousand, four hundred seventy-two".