1342800 has 90 divisors (see below), whose sum is σ = 4672382. Its totient is φ = 357120.

The previous prime is 1342799. The next prime is 1342801. The reversal of 1342800 is 82431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1342799) and next prime (1342801).

It can be written as a sum of positive squares in 3 ways, for example, as 97344 + 1245456 = 312^2 + 1116^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×1342800² = 3606223680000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3414 + ... + 3786.

2^1342800 is an apocalyptic number.

1342800 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 1342800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336191).

1342800 is an abundant number, since it is smaller than the sum of its proper divisors (3329582).

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

1342800 is a wasteful number, since it uses less digits than its factorization.

1342800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1342800 is about 1158.7924749497. The cubic root of 1342800 is about 110.3241129399.

The spelling of 1342800 in words is "one million, three hundred forty-two thousand, eight hundred".