1642472 has 32 divisors (see below), whose sum is σ = 3515400. Its totient is φ = 712704.

The previous prime is 1642463. The next prime is 1642481. The reversal of 1642472 is 2742461.

It is an interprime number because it is at equal distance from previous prime (1642463) and next prime (1642481).

It can be written as a sum of positive squares in 4 ways, for example, as 857476 + 784996 = 926^2 + 886^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a d-powerful number, because it can be written as 1 + 6⁶ + 4⁶ + 2¹¹ + 4¹⁰ + 7⁵ + 2¹⁹ .

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 7 ways as a sum of consecutive naturals, for example, 1304 + ... + 2232.

2^1642472 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 1642472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757700).

1642472 is an abundant number, since it is smaller than the sum of its proper divisors (1872928).

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

1642472 is a wasteful number, since it uses less digits than its factorization.

1642472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 961 counting only the distinct ones).

The product of its digits is 2688, while the sum is 26.

The square root of 1642472 is about 1281.5896379107. The cubic root of 1642472 is about 117.9865923673.

The spelling of 1642472 in words is "one million, six hundred forty-two thousand, four hundred seventy-two".