7053948 has 72 divisors (see below), whose sum is σ = 19918080. Its totient is φ = 2086560.

The previous prime is 7053911. The next prime is 7053971. The reversal of 7053948 is 8493507.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18423 + ... + 18801.

It is an arithmetic number, because the mean of its divisors is an integer number (276640).

Almost surely, 2^7053948 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 7053948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9959040).

7053948 is an abundant number, since it is smaller than the sum of its proper divisors (12864132).

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

7053948 is a wasteful number, since it uses less digits than its factorization.

7053948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 7053948 is about 2655.9269568269. The cubic root of 7053948 is about 191.7832841245.

It can be divided in two parts, 7053 and 948, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 7053948 in words is "seven million, fifty-three thousand, nine hundred forty-eight".