1201590 has 72 divisors (see below), whose sum is σ = 3425760. Its totient is φ = 292032.

The previous prime is 1201583. The next prime is 1201601. The reversal of 1201590 is 951021.

1201590 = 298² + 299² + ... + 310².

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15171 + ... + 15249.

It is an arithmetic number, because the mean of its divisors is an integer number (47580).

2^1201590 is an apocalyptic number.

1201590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712880).

1201590 is an abundant number, since it is smaller than the sum of its proper divisors (2224170).

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

1201590 is a wasteful number, since it uses less digits than its factorization.

1201590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 1201590 is about 1096.1706071593. The cubic root of 1201590 is about 106.3127702911.

The spelling of 1201590 in words is "one million, two hundred one thousand, five hundred ninety".