1201600 has 42 divisors (see below), whose sum is σ = 2960624. Its totient is φ = 480000.

The previous prime is 1201583. The next prime is 1201601. The reversal of 1201600 is 61021.

1201600 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1225 + ... + 1975.

2^1201600 is an apocalyptic number.

1201600 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 1201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480312).

1201600 is an abundant number, since it is smaller than the sum of its proper divisors (1759024).

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

1201600 is an equidigital number, since it uses as much as digits as its factorization.

1201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1201600 is about 1096.1751684836. The cubic root of 1201600 is about 106.3130652128.

Adding to 1201600 its reverse (61021), we get a palindrome (1262621).

It can be divided in two parts, 1201 and 600, that multiplied together give a triangular number (720600 = T₁₂₀₀).

The spelling of 1201600 in words is "one million, two hundred one thousand, six hundred".