1611960 has 128 divisors (see below), whose sum is σ = 5875200. Its totient is φ = 345600.

The previous prime is 1611949. The next prime is 1611971. The reversal of 1611960 is 691161.

It is an interprime number because it is at equal distance from previous prime (1611949) and next prime (1611971).

It is a super-3 number, since 3×1611960³ = 12565623331372608000, which contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1611960.

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, 15910 + ... + 16010.

It is an arithmetic number, because the mean of its divisors is an integer number (45900).

2^1611960 is an apocalyptic number.

1611960 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 1611960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937600).

1611960 is an abundant number, since it is smaller than the sum of its proper divisors (4263240).

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

1611960 is a wasteful number, since it uses less digits than its factorization.

1611960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 1611960 is about 1269.6298673235. The cubic root of 1611960 is about 117.2514134911.

Multiplying 1611960 by its product of nonzero digits (324), we get a triangular number (522275040 = T₃₂₃₁₉).

The spelling of 1611960 in words is "one million, six hundred eleven thousand, nine hundred sixty".