7846944 has 48 divisors (see below), whose sum is σ = 23542848. Its totient is φ = 2241792.

The previous prime is 7846939. The next prime is 7846961. The reversal of 7846944 is 4496487.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 7846896 and 7846905.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5167 + ... + 6510.

It is an arithmetic number, because the mean of its divisors is an integer number (490476).

Almost surely, 2^7846944 is an apocalyptic number.

It is an amenable number.

7846944 is an abundant number, since it is smaller than the sum of its proper divisors (15695904).

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

7846944 is a wasteful number, since it uses less digits than its factorization.

7846944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11697 (or 11689 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 7846944 is about 2801.2397255501. The cubic root of 7846944 is about 198.7163116826.

It can be divided in two parts, 7 and 846944, that added together give a triangular number (846951 = T₁₃₀₁).

The spelling of 7846944 in words is "seven million, eight hundred forty-six thousand, nine hundred forty-four".