10132784 has 30 divisors (see below), whose sum is σ = 20316780. Its totient is φ = 4895520.

The previous prime is 10132769. The next prime is 10132807. The reversal of 10132784 is 48723101.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15047 + ... + 15705.

It is an arithmetic number, because the mean of its divisors is an integer number (677226).

Almost surely, 2^10132784 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 10132784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10158390).

10132784 is an abundant number, since it is smaller than the sum of its proper divisors (10183996).

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

10132784 is an equidigital number, since it uses as much as digits as its factorization.

10132784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 10132784 is about 3183.2034179424. The cubic root of 10132784 is about 216.3928607064.

Adding to 10132784 its reverse (48723101), we get a palindrome (58855885).

The spelling of 10132784 in words is "ten million, one hundred thirty-two thousand, seven hundred eighty-four".