1606142400 has 168 divisors, whose sum is σ = 5323264944. Its totient is φ = 423936000.

The previous prime is 1606142381. The next prime is 1606142401. The reversal of 1606142400 is 42416061.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1606142401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483144 + ... + 486456.

Almost surely, 2^1606142400 is an apocalyptic number.

1606142400 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 1606142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661632472).

1606142400 is an abundant number, since it is smaller than the sum of its proper divisors (3717122544).

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

1606142400 is a wasteful number, since it uses less digits than its factorization.

1606142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3439 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1606142400 is about 40076.7064515037. The cubic root of 1606142400 is about 1171.1018912862.

Adding to 1606142400 its reverse (42416061), we get a palindrome (1648558461).

The spelling of 1606142400 in words is "one billion, six hundred six million, one hundred forty-two thousand, four hundred".