1429664 has 24 divisors (see below), whose sum is σ = 2882880. Its totient is φ = 697536.

The previous prime is 1429661. The next prime is 1429669. The reversal of 1429664 is 4669241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1429664.

It is not an unprimeable number, because it can be changed into a prime (1429661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 857 + ... + 1895.

It is an arithmetic number, because the mean of its divisors is an integer number (120120).

2^1429664 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 1429664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441440).

1429664 is an abundant number, since it is smaller than the sum of its proper divisors (1453216).

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

1429664 is a wasteful number, since it uses less digits than its factorization.

1429664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1084 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 1429664 is about 1195.6855773990. The cubic root of 1429664 is about 112.6534925405.

The spelling of 1429664 in words is "one million, four hundred twenty-nine thousand, six hundred sixty-four".