1642286160 has 120 divisors (see below), whose sum is σ = 5649966504. Its totient is φ = 427253760.

The previous prime is 1642286141. The next prime is 1642286179. The reversal of 1642286160 is 616822461.

1642286160 is a `hidden beast` number, since 1 + 642 + 2 + 8 + 6 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1642286141) and next prime (1642286179).

It can be written as a sum of positive squares in 4 ways, for example, as 56972304 + 1585313856 = 7548^2 + 39816^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1704 + ... + 57336.

Almost surely, 2^1642286160 is an apocalyptic number.

1642286160 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 1642286160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824983252).

1642286160 is an abundant number, since it is smaller than the sum of its proper divisors (4007680344).

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

1642286160 is a wasteful number, since it uses less digits than its factorization.

1642286160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55693 (or 55684 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1642286160 is about 40525.1299812845. The cubic root of 1642286160 is about 1179.8214227510.

The spelling of 1642286160 in words is "one billion, six hundred forty-two million, two hundred eighty-six thousand, one hundred sixty".