1606940400 has 240 divisors, whose sum is σ = 5579642880. Its totient is φ = 392985600.

The previous prime is 1606940399. The next prime is 1606940407. The reversal of 1606940400 is 40496061.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1606940407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3728185 + ... + 3728615.

It is an arithmetic number, because the mean of its divisors is an integer number (23248512).

Almost surely, 2^1606940400 is an apocalyptic number.

1606940400 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 1606940400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789821440).

1606940400 is an abundant number, since it is smaller than the sum of its proper divisors (3972702480).

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

1606940400 is a wasteful number, since it uses less digits than its factorization.

1606940400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1606940400 is about 40086.6611231217. The cubic root of 1606940400 is about 1171.2958102851.

The spelling of 1606940400 in words is "one billion, six hundred six million, nine hundred forty thousand, four hundred".