753948 has 60 divisors (see below), whose sum is σ = 2134440. Its totient is φ = 230688.

The previous prime is 753947. The next prime is 753959. The reversal of 753948 is 849357.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 753948.

It is not an unprimeable number, because it can be changed into a prime (753941) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4123 + ... + 4301.

It is an arithmetic number, because the mean of its divisors is an integer number (35574).

2⁷⁵³⁹⁴⁸ is an apocalyptic number.

753948 is a gapful number since it is divisible by the number (78) 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 753948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067220).

753948 is an abundant number, since it is smaller than the sum of its proper divisors (1380492).

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

753948 is a wasteful number, since it uses less digits than its factorization.

753948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 197 counting only the distinct ones).

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

The square root of 753948 is about 868.3017908538. The cubic root of 753948 is about 91.0151727709.

The spelling of 753948 in words is "seven hundred fifty-three thousand, nine hundred forty-eight".