1610166400 has 192 divisors, whose sum is σ = 4257316800. Its totient is φ = 599961600.

The previous prime is 1610166379. The next prime is 1610166401. The reversal of 1610166400 is 46610161.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1610166401) 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, 4316614 + ... + 4316986.

It is an arithmetic number, because the mean of its divisors is an integer number (22173525).

Almost surely, 2^1610166400 is an apocalyptic number.

1610166400 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 1610166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128658400).

1610166400 is an abundant number, since it is smaller than the sum of its proper divisors (2647150400).

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

1610166400 is a wasteful number, since it uses less digits than its factorization.

1610166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 1610166400 is about 40126.8787722145. The cubic root of 1610166400 is about 1172.0790947874.

Adding to 1610166400 its reverse (46610161), we get a palindrome (1656776561).

The spelling of 1610166400 in words is "one billion, six hundred ten million, one hundred sixty-six thousand, four hundred".