1611484160 has 352 divisors, whose sum is σ = 4754018304. Its totient is φ = 516096000.

The previous prime is 1611484109. The next prime is 1611484177. The reversal of 1611484160 is 614841161.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-4 number, since 4×1611484160⁴ (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22696925 + ... + 22696995.

Almost surely, 2^1611484160 is an apocalyptic number.

1611484160 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 1611484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377009152).

1611484160 is an abundant number, since it is smaller than the sum of its proper divisors (3142534144).

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

1611484160 is a wasteful number, since it uses less digits than its factorization.

1611484160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 1611484160 is about 40143.2953306028. The cubic root of 1611484160 is about 1172.3987507341.

The spelling of 1611484160 in words is "one billion, six hundred eleven million, four hundred eighty-four thousand, one hundred sixty".