1937952 has 48 divisors (see below), whose sum is σ = 5654880. Its totient is φ = 645696.

The previous prime is 1937941. The next prime is 1937953. The reversal of 1937952 is 2597391.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (1937953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258 + ... + 1985.

It is an arithmetic number, because the mean of its divisors is an integer number (117810).

2^1937952 is an apocalyptic number.

1937952 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 1937952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827440).

1937952 is an abundant number, since it is smaller than the sum of its proper divisors (3716928).

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

1937952 is a wasteful number, since it uses less digits than its factorization.

1937952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262 (or 2248 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 1937952 is about 1392.1034444322. The cubic root of 1937952 is about 124.6754674917.

The spelling of 1937952 in words is "one million, nine hundred thirty-seven thousand, nine hundred fifty-two".