7429864 has 32 divisors (see below), whose sum is σ = 15120000. Its totient is φ = 3402432.

The previous prime is 7429843. The next prime is 7429879. The reversal of 7429864 is 4689247.

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20517 + ... + 20875.

It is an arithmetic number, because the mean of its divisors is an integer number (472500).

Almost surely, 2^7429864 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 7429864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560000).

7429864 is an abundant number, since it is smaller than the sum of its proper divisors (7690136).

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

7429864 is a wasteful number, since it uses less digits than its factorization.

7429864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 573 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 7429864 is about 2725.7776871931. Note that the first 3 decimals coincide. The cubic root of 7429864 is about 195.1313075727.

The spelling of 7429864 in words is "seven million, four hundred twenty-nine thousand, eight hundred sixty-four".