1009792 has 64 divisors (see below), whose sum is σ = 2448000. Its totient is φ = 413952.

The previous prime is 1009787. The next prime is 1009807. The reversal of 1009792 is 2979001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1009792.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43893 + ... + 43915.

It is an arithmetic number, because the mean of its divisors is an integer number (38250).

2^1009792 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 1009792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224000).

1009792 is an abundant number, since it is smaller than the sum of its proper divisors (1438208).

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

1009792 is an frugal number, since it uses more digits than its factorization.

1009792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 28.

The square root of 1009792 is about 1004.8840729159. The cubic root of 1009792 is about 100.3253403884.

The spelling of 1009792 in words is "one million, nine thousand, seven hundred ninety-two".