1611661200 has 240 divisors, whose sum is σ = 5507683200. Its totient is φ = 401448960.

The previous prime is 1611661193. The next prime is 1611661229. The reversal of 1611661200 is 21661161.

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 (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4059402 + ... + 4059798.

It is an arithmetic number, because the mean of its divisors is an integer number (22948680).

Almost surely, 2^1611661200 is an apocalyptic number.

1611661200 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 1611661200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753841600).

1611661200 is an abundant number, since it is smaller than the sum of its proper divisors (3896022000).

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

1611661200 is a wasteful number, since it uses less digits than its factorization.

1611661200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1611661200 is about 40145.5003705272. The cubic root of 1611661200 is about 1172.4416829741.

The spelling of 1611661200 in words is "one billion, six hundred eleven million, six hundred sixty-one thousand, two hundred".