1341600 has 144 divisors (see below), whose sum is σ = 4812192. Its totient is φ = 322560.

The previous prime is 1341581. The next prime is 1341611. The reversal of 1341600 is 61431.

1341600 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1341600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31179 + ... + 31221.

It is an arithmetic number, because the mean of its divisors is an integer number (33418).

2^1341600 is an apocalyptic number.

1341600 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 1341600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406096).

1341600 is an abundant number, since it is smaller than the sum of its proper divisors (3470592).

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

1341600 is a wasteful number, since it uses less digits than its factorization.

1341600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1341600 is about 1158.2745788456. The cubic root of 1341600 is about 110.2912392451.

The spelling of 1341600 in words is "one million, three hundred forty-one thousand, six hundred".