7484864 has 28 divisors (see below), whose sum is σ = 15005304. Its totient is φ = 3704064.

The previous prime is 7484861. The next prime is 7484899. The reversal of 7484864 is 4684847.

Added to its reverse (4684847) it gives a triangular number (12169711 = T₄₉₃₃).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7484861) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6302 + ... + 7394.

Almost surely, 2^7484864 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 7484864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7502652).

7484864 is an abundant number, since it is smaller than the sum of its proper divisors (7520440).

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

7484864 is a wasteful number, since it uses less digits than its factorization.

7484864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1202 counting only the distinct ones).

The product of its digits is 172032, while the sum is 41.

The square root of 7484864 is about 2735.8479489913. The cubic root of 7484864 is about 195.6116146292.

Adding to 7484864 its reverse (4684847), we get a triangular number (12169711 = T₄₉₃₃).

The spelling of 7484864 in words is "seven million, four hundred eighty-four thousand, eight hundred sixty-four".