1958420 has 24 divisors (see below), whose sum is σ = 4143048. Its totient is φ = 777600.

The previous prime is 1958419. The next prime is 1958423. The reversal of 1958420 is 248591.

It can be written as a sum of positive squares in 4 ways, for example, as 9604 + 1948816 = 98^2 + 1396^2 .

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1958423) 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, 3350 + ... + 3890.

It is an arithmetic number, because the mean of its divisors is an integer number (172627).

2^1958420 is an apocalyptic number.

1958420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1958420 is an abundant number, since it is smaller than the sum of its proper divisors (2184628).

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

1958420 is a wasteful number, since it uses less digits than its factorization.

1958420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 1958420 is about 1399.4356005190. The cubic root of 1958420 is about 125.1128580738.

The spelling of 1958420 in words is "one million, nine hundred fifty-eight thousand, four hundred twenty".