1936032 has 96 divisors (see below), whose sum is σ = 6031872. Its totient is φ = 532224.

The previous prime is 1936027. The next prime is 1936057. The reversal of 1936032 is 2306391.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1935993 and 1936011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28863 + ... + 28929.

It is an arithmetic number, because the mean of its divisors is an integer number (62832).

2^1936032 is an apocalyptic number.

1936032 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 1936032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015936).

1936032 is an abundant number, since it is smaller than the sum of its proper divisors (4095840).

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

1936032 is a wasteful number, since it uses less digits than its factorization.

1936032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 1936032 is about 1391.4136696181. The cubic root of 1936032 is about 124.6342803701.

The spelling of 1936032 in words is "one million, nine hundred thirty-six thousand, thirty-two".