1552000 has 64 divisors (see below), whose sum is σ = 3898440. Its totient is φ = 614400.

The previous prime is 1551997. The next prime is 1552007. The reversal of 1552000 is 2551.

It can be written as a sum of positive squares in 4 ways, for example, as 419904 + 1132096 = 648^2 + 1064^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1552007) 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, 15952 + ... + 16048.

2^1552000 is an apocalyptic number.

1552000 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 1552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949220).

1552000 is an abundant number, since it is smaller than the sum of its proper divisors (2346440).

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

1552000 is an frugal number, since it uses more digits than its factorization.

1552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 1552000 is about 1245.7929201918. The cubic root of 1552000 is about 115.7792074412.

Adding to 1552000 its reverse (2551), we get a palindrome (1554551).

The spelling of 1552000 in words is "one million, five hundred fifty-two thousand".