1952000 has 72 divisors (see below), whose sum is σ = 4942392. Its totient is φ = 768000.

The previous prime is 1951997. The next prime is 1952021. The reversal of 1952000 is 2591.

It can be written as a sum of positive squares in 4 ways, for example, as 473344 + 1478656 = 688^2 + 1216^2 .

It is a nialpdrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 1952000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31970 + ... + 32030.

2^1952000 is an apocalyptic number.

1952000 is a gapful number since it is divisible by the number (10) 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 1952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471196).

1952000 is an abundant number, since it is smaller than the sum of its proper divisors (2990392).

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

1952000 is an frugal number, since it uses more digits than its factorization.

1952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 1952000 is about 1397.1399357258. The cubic root of 1952000 is about 124.9759953905.

Adding to 1952000 its reverse (2591), we get a palindrome (1954591).

The spelling of 1952000 in words is "one million, nine hundred fifty-two thousand".