7164864 has 84 divisors (see below), whose sum is σ = 23483824. Its totient is φ = 2045952.

The previous prime is 7164863. The next prime is 7164887. The reversal of 7164864 is 4684617.

7164864 is a `hidden beast` number, since 7 + 1 + 648 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×7164864² = 102670552276992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7164863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3144 + ... + 4920.

Almost surely, 2^7164864 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 7164864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11741912).

7164864 is an abundant number, since it is smaller than the sum of its proper divisors (16318960).

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

7164864 is a wasteful number, since it uses less digits than its factorization.

7164864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1789 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 7164864 is about 2676.7263588197. The cubic root of 7164864 is about 192.7832587060.

The spelling of 7164864 in words is "seven million, one hundred sixty-four thousand, eight hundred sixty-four".