8103264 has 96 divisors (see below), whose sum is σ = 23595264. Its totient is φ = 2419200.

The previous prime is 8103239. The next prime is 8103289. The reversal of 8103264 is 4623018.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8103239) and next prime (8103289).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53589 + ... + 53739.

It is an arithmetic number, because the mean of its divisors is an integer number (245784).

Almost surely, 2^8103264 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 8103264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11797632).

8103264 is an abundant number, since it is smaller than the sum of its proper divisors (15492000).

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

8103264 is a wasteful number, since it uses less digits than its factorization.

8103264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 8103264 is about 2846.6232627448. The cubic root of 8103264 is about 200.8568570706.

The spelling of 8103264 in words is "eight million, one hundred three thousand, two hundred sixty-four".