8010464 has 48 divisors (see below), whose sum is σ = 19668096. Its totient is φ = 3120000.

The previous prime is 8010461. The next prime is 8010481. The reversal of 8010464 is 4640108.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8010461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 839 + ... + 4089.

It is an arithmetic number, because the mean of its divisors is an integer number (409752).

Almost surely, 2^8010464 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 8010464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9834048).

8010464 is an abundant number, since it is smaller than the sum of its proper divisors (11657632).

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

8010464 is a wasteful number, since it uses less digits than its factorization.

8010464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3279 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 8010464 is about 2830.2763115993. The cubic root of 8010464 is about 200.0871620084.

The spelling of 8010464 in words is "eight million, ten thousand, four hundred sixty-four".