1948752 has 80 divisors (see below), whose sum is σ = 6041280. Its totient is φ = 597888.

The previous prime is 1948747. The next prime is 1948759. The reversal of 1948752 is 2578491.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1948759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5443 + ... + 5789.

It is an arithmetic number, because the mean of its divisors is an integer number (75516).

2^1948752 is an apocalyptic number.

1948752 is a gapful number since it is divisible by the number (12) 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 1948752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020640).

1948752 is an abundant number, since it is smaller than the sum of its proper divisors (4092528).

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

1948752 is a wasteful number, since it uses less digits than its factorization.

1948752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 365 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 1948752 is about 1395.9770771757. The cubic root of 1948752 is about 124.9066396214.

It can be divided in two parts, 1 and 948752, that added together give a triangular number (948753 = T₁₃₇₇).

The spelling of 1948752 in words is "one million, nine hundred forty-eight thousand, seven hundred fifty-two".