7042896 has 160 divisors (see below), whose sum is σ = 24641280. Its totient is φ = 1880064.

The previous prime is 7042883. The next prime is 7042907. The reversal of 7042896 is 6982407.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 7042896.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 51340 + ... + 51476.

It is an arithmetic number, because the mean of its divisors is an integer number (154008).

Almost surely, 2^7042896 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 7042896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12320640).

7042896 is an abundant number, since it is smaller than the sum of its proper divisors (17598384).

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

7042896 is a wasteful number, since it uses less digits than its factorization.

7042896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7042896 is about 2653.8455117056. The cubic root of 7042896 is about 191.6830708917.

It can be divided in two parts, 704 and 2896, that added together give a square (3600 = 60²).

The spelling of 7042896 in words is "seven million, forty-two thousand, eight hundred ninety-six".