7438956 has 96 divisors (see below), whose sum is σ = 21504000. Its totient is φ = 1954368.

The previous prime is 7438939. The next prime is 7438967. The reversal of 7438956 is 6598347.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94125 + ... + 94203.

It is an arithmetic number, because the mean of its divisors is an integer number (224000).

Almost surely, 2^7438956 is an apocalyptic number.

7438956 is a gapful number since it is divisible by the number (76) 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 7438956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10752000).

7438956 is an abundant number, since it is smaller than the sum of its proper divisors (14065044).

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

7438956 is a wasteful number, since it uses less digits than its factorization.

7438956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 169 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 7438956 is about 2727.4449581981. Note that the first 3 decimals coincide. The cubic root of 7438956 is about 195.2108698484.

The spelling of 7438956 in words is "seven million, four hundred thirty-eight thousand, nine hundred fifty-six".