7456064 has 112 divisors (see below), whose sum is σ = 19751040. Its totient is φ = 2703360.

The previous prime is 7456063. The next prime is 7456121. The reversal of 7456064 is 4606547.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 7456064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7456061) 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, 83732 + ... + 83820.

Almost surely, 2^7456064 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 7456064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9875520).

7456064 is an abundant number, since it is smaller than the sum of its proper divisors (12294976).

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

7456064 is a wasteful number, since it uses less digits than its factorization.

7456064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 7456064 is about 2730.5794256897. The cubic root of 7456064 is about 195.3604029574.

The spelling of 7456064 in words is "seven million, four hundred fifty-six thousand, sixty-four".