1622400 has 144 divisors (see below), whose sum is σ = 5786460. Its totient is φ = 399360.

The previous prime is 1622377. The next prime is 1622407. The reversal of 1622400 is 42261.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1622400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1622407) 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, 124794 + ... + 124806.

2^1622400 is an apocalyptic number.

1622400 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 1622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893230).

1622400 is an abundant number, since it is smaller than the sum of its proper divisors (4164060).

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

1622400 is a wasteful number, since it uses less digits than its factorization.

1622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1622400 is about 1273.7346662473. The cubic root of 1622400 is about 117.5039986567.

Multiplying 1622400 by its product of nonzero digits (96), we get a square (155750400 = 12480²).

1622400 divided by its product of nonzero digits (96) gives a square (16900 = 130²).

Adding to 1622400 its reverse (42261), we get a palindrome (1664661).

The spelling of 1622400 in words is "one million, six hundred twenty-two thousand, four hundred".