7006896 has 120 divisors (see below), whose sum is σ = 22342320. Its totient is φ = 2032128.

The previous prime is 7006891. The next prime is 7006903. The reversal of 7006896 is 6986007.

7006896 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

7006896 is a nontrivial binomial coefficient, being equal to C(3744, 2).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7006896.

It is not an unprimeable number, because it can be changed into a prime (7006891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35470 + ... + 35666.

It is an arithmetic number, because the mean of its divisors is an integer number (186186).

Almost surely, 2^7006896 is an apocalyptic number.

7006896 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

7006896 is the 3743-rd triangular number and also the 1872-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7006896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11171160).

7006896 is an abundant number, since it is smaller than the sum of its proper divisors (15335424).

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

7006896 is a wasteful number, since it uses less digits than its factorization.

7006896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 7006896 is about 2647.0542117607. The cubic root of 7006896 is about 191.3559146770.

The spelling of 7006896 in words is "seven million, six thousand, eight hundred ninety-six".