8401264 has 40 divisors (see below), whose sum is σ = 17530128. Its totient is φ = 3886080.

The previous prime is 8401259. The next prime is 8401273. The reversal of 8401264 is 4621048.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17994 + ... + 18454.

Almost surely, 2^8401264 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 8401264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8765064).

8401264 is an abundant number, since it is smaller than the sum of its proper divisors (9128864).

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

8401264 is a wasteful number, since it uses less digits than its factorization.

8401264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 8401264 is about 2898.4934017520. The cubic root of 8401264 is about 203.2894670817.

The spelling of 8401264 in words is "eight million, four hundred one thousand, two hundred sixty-four".