1292064 has 48 divisors (see below), whose sum is σ = 3481632. Its totient is φ = 419328.

The previous prime is 1292063. The next prime is 1292069. The reversal of 1292064 is 4602921.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (1292063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3972 + ... + 4284.

It is an arithmetic number, because the mean of its divisors is an integer number (72534).

2^1292064 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 1292064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740816).

1292064 is an abundant number, since it is smaller than the sum of its proper divisors (2189568).

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

1292064 is a wasteful number, since it uses less digits than its factorization.

1292064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 361 counting only the distinct ones).

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

The square root of 1292064 is about 1136.6899313357. The cubic root of 1292064 is about 108.9167503943.

Adding to 1292064 its reverse (4602921), we get a palindrome (5894985).

It can be divided in two parts, 129 and 2064, that multiplied together give a square (266256 = 516²).

The spelling of 1292064 in words is "one million, two hundred ninety-two thousand, sixty-four".