7958496 has 96 divisors (see below), whose sum is σ = 25740288. Its totient is φ = 2096640.

The previous prime is 7958471. The next prime is 7958521. The reversal of 7958496 is 6948597.

It is an interprime number because it is at equal distance from previous prime (7958471) and next prime (7958521).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a d-powerful number, because it can be written as 7⁸ + 9 + 5⁷ + 8⁷ + 4⁷ + 9³ + 6⁴ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8281 + ... + 9191.

It is an arithmetic number, because the mean of its divisors is an integer number (268128).

Almost surely, 2^7958496 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 7958496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12870144).

7958496 is an abundant number, since it is smaller than the sum of its proper divisors (17781792).

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

7958496 is a wasteful number, since it uses less digits than its factorization.

7958496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 936 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 7958496 is about 2821.0806440086. The cubic root of 7958496 is about 199.6535334847.

The spelling of 7958496 in words is "seven million, nine hundred fifty-eight thousand, four hundred ninety-six".