1205952 has 56 divisors (see below), whose sum is σ = 3486912. Its totient is φ = 364800.

The previous prime is 1205951. The next prime is 1205969. The reversal of 1205952 is 2595021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1205951) 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, 1827 + ... + 2397.

2^1205952 is an apocalyptic number.

1205952 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 1205952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743456).

1205952 is an abundant number, since it is smaller than the sum of its proper divisors (2280960).

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

1205952 is a wasteful number, since it uses less digits than its factorization.

1205952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1205952 is about 1098.1584585113. The cubic root of 1205952 is about 106.4412601206.

The spelling of 1205952 in words is "one million, two hundred five thousand, nine hundred fifty-two".