1431936 has 96 divisors (see below), whose sum is σ = 4534920. Its totient is φ = 430080.

The previous prime is 1431929. The next prime is 1431959. The reversal of 1431936 is 6391341.

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

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12616 + ... + 12728.

2^1431936 is an apocalyptic number.

1431936 is a gapful number since it is divisible by the number (16) 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 1431936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267460).

1431936 is an abundant number, since it is smaller than the sum of its proper divisors (3102984).

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

1431936 is a wasteful number, since it uses less digits than its factorization.

1431936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 129 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 1431936 is about 1196.6352827825. The cubic root of 1431936 is about 112.7131366880.

The spelling of 1431936 in words is "one million, four hundred thirty-one thousand, nine hundred thirty-six".