1958112 has 72 divisors (see below), whose sum is σ = 6008184. Its totient is φ = 601344.

The previous prime is 1958107. The next prime is 1958137. The reversal of 1958112 is 2118591.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3483 + ... + 4005.

It is an arithmetic number, because the mean of its divisors is an integer number (83447).

2^1958112 is an apocalyptic number.

1958112 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 1958112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3004092).

1958112 is an abundant number, since it is smaller than the sum of its proper divisors (4050072).

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

1958112 is a wasteful number, since it uses less digits than its factorization.

1958112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 541 counting only the distinct ones).

The product of its digits is 720, while the sum is 27.

The square root of 1958112 is about 1399.3255518285. The cubic root of 1958112 is about 125.1062989120.

The spelling of 1958112 in words is "one million, nine hundred fifty-eight thousand, one hundred twelve".