1598400 has 168 divisors, whose sum is σ = 5984240. Its totient is φ = 414720.

The previous prime is 1598381. The next prime is 1598447. The reversal of 1598400 is 48951.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

It is a congruent number.

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, 43182 + ... + 43218.

2^1598400 is an apocalyptic number.

1598400 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 1598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992120).

1598400 is an abundant number, since it is smaller than the sum of its proper divisors (4385840).

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

1598400 is a wasteful number, since it uses less digits than its factorization.

1598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1598400 is about 1264.2784503423. The cubic root of 1598400 is about 116.9217096225.

Multiplying 1598400 by its reverse (48951), we get a square (78243278400 = 279720²).

The spelling of 1598400 in words is "one million, five hundred ninety-eight thousand, four hundred".