7484064 has 144 divisors (see below), whose sum is σ = 24016608. Its totient is φ = 2032128.

The previous prime is 7484047. The next prime is 7484089. The reversal of 7484064 is 4604847.

It is a super-2 number, since 2×7484064² = 112022427912192, which contains 22 as substring.

It is an Ulam number.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174027 + ... + 174069.

It is an arithmetic number, because the mean of its divisors is an integer number (166782).

Almost surely, 2^7484064 is an apocalyptic number.

7484064 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7484064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12008304).

7484064 is an abundant number, since it is smaller than the sum of its proper divisors (16532544).

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

7484064 is a wasteful number, since it uses less digits than its factorization.

7484064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 7484064 is about 2735.7017381286. The cubic root of 7484064 is about 195.6046452366.

The spelling of 7484064 in words is "seven million, four hundred eighty-four thousand, sixty-four".