8067456 has 96 divisors (see below), whose sum is σ = 23868000. Its totient is φ = 2614272.

The previous prime is 8067431. The next prime is 8067461. The reversal of 8067456 is 6547608.

It is a happy number.

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 (36).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 8067456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54070 + ... + 54218.

It is an arithmetic number, because the mean of its divisors is an integer number (248625).

Almost surely, 2^8067456 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 8067456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11934000).

8067456 is an abundant number, since it is smaller than the sum of its proper divisors (15800544).

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

8067456 is a wasteful number, since it uses less digits than its factorization.

8067456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 8067456 is about 2840.3267417676. The cubic root of 8067456 is about 200.5605607238.

The spelling of 8067456 in words is "eight million, sixty-seven thousand, four hundred fifty-six".