1959672 has 64 divisors (see below), whose sum is σ = 5765760. Its totient is φ = 547200.

The previous prime is 1959649. The next prime is 1959673. The reversal of 1959672 is 2769591.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 1959672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1959673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3147 + ... + 3717.

It is an arithmetic number, because the mean of its divisors is an integer number (90090).

2^1959672 is an apocalyptic number.

1959672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1959672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882880).

1959672 is an abundant number, since it is smaller than the sum of its proper divisors (3806088).

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

1959672 is a wasteful number, since it uses less digits than its factorization.

1959672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 600 counting only the distinct ones).

The product of its digits is 34020, while the sum is 39.

The square root of 1959672 is about 1399.8828522416. The cubic root of 1959672 is about 125.1395135631.

The spelling of 1959672 in words is "one million, nine hundred fifty-nine thousand, six hundred seventy-two".