7493948 has 48 divisors (see below), whose sum is σ = 16934400. Its totient is φ = 2815680.

The previous prime is 7493947. The next prime is 7494001. The reversal of 7493948 is 8493947.

It is a Smith number, since the sum of its digits (44) 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 (44).

It is a d-powerful number, because it can be written as 7⁵ + 4² + 9⁶ + 3³ + 9⁷ + 4⁸ + 8⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 7493899 and 7493908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7493947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8513 + ... + 9351.

It is an arithmetic number, because the mean of its divisors is an integer number (352800).

Almost surely, 2^7493948 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 7493948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8467200).

7493948 is an abundant number, since it is smaller than the sum of its proper divisors (9440452).

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

7493948 is a wasteful number, since it uses less digits than its factorization.

7493948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 888 counting only the distinct ones).

The product of its digits is 217728, while the sum is 44.

The square root of 7493948 is about 2737.5076255602. The cubic root of 7493948 is about 195.6907172703.

Subtracting 7493948 from its reverse (8493947), we obtain a palindrome (999999).

The spelling of 7493948 in words is "seven million, four hundred ninety-three thousand, nine hundred forty-eight".