846610464 has 96 divisors (see below), whose sum is σ = 2562537600. Its totient is φ = 239726592.

The previous prime is 846610363. The next prime is 846610469. The reversal of 846610464 is 464016648.

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

It is not an unprimeable number, because it can be changed into a prime (846610469) 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, 70362 + ... + 81510.

It is an arithmetic number, because the mean of its divisors is an integer number (26693100).

Almost surely, 2^846610464 is an apocalyptic number.

846610464 is a gapful number since it is divisible by the number (84) 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 846610464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281268800).

846610464 is an abundant number, since it is smaller than the sum of its proper divisors (1715927136).

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

846610464 is a wasteful number, since it uses less digits than its factorization.

846610464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11282 (or 11274 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 846610464 is about 29096.5713444041. The cubic root of 846610464 is about 946.0074226123.

The spelling of 846610464 in words is "eight hundred forty-six million, six hundred ten thousand, four hundred sixty-four".