1581952 has 32 divisors (see below), whose sum is σ = 3341520. Its totient is φ = 743424.

The previous prime is 1581949. The next prime is 1582001. The reversal of 1581952 is 2591851.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1813 + ... + 2539.

2^1581952 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 1581952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670760).

1581952 is an abundant number, since it is smaller than the sum of its proper divisors (1759568).

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

1581952 is an equidigital number, since it uses as much as digits as its factorization.

1581952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 746 counting only the distinct ones).

The product of its digits is 3600, while the sum is 31.

The square root of 1581952 is about 1257.7567332358. The cubic root of 1581952 is about 116.5192732762.

The spelling of 1581952 in words is "one million, five hundred eighty-one thousand, nine hundred fifty-two".