1931424 has 96 divisors (see below), whose sum is σ = 5806080. Its totient is φ = 556800.

The previous prime is 1931411. The next prime is 1931453. The reversal of 1931424 is 4241391.

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 = 1931394 and 1931403.

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, 32707 + ... + 32765.

It is an arithmetic number, because the mean of its divisors is an integer number (60480).

2^1931424 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 1931424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903040).

1931424 is an abundant number, since it is smaller than the sum of its proper divisors (3874656).

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

1931424 is a wasteful number, since it uses less digits than its factorization.

1931424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 106 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 1931424 is about 1389.7568132591. The cubic root of 1931424 is about 124.5353200542.

The spelling of 1931424 in words is "one million, nine hundred thirty-one thousand, four hundred twenty-four".