1642871160 has 320 divisors, whose sum is σ = 6683497920. Its totient is φ = 353341440.

The previous prime is 1642871149. The next prime is 1642871221. The reversal of 1642871160 is 611782461.

It is a happy number.

1642871160 is a `hidden beast` number, since 1 + 6 + 428 + 71 + 160 = 666.

1642871160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 383430 + ... + 387690.

It is an arithmetic number, because the mean of its divisors is an integer number (20885931).

Almost surely, 2^1642871160 is an apocalyptic number.

1642871160 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 1642871160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341748960).

1642871160 is an abundant number, since it is smaller than the sum of its proper divisors (5040626760).

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

1642871160 is a wasteful number, since it uses less digits than its factorization.

1642871160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4308 (or 4295 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1642871160 is about 40532.3470822996. The cubic root of 1642871160 is about 1179.9614944823.

The spelling of 1642871160 in words is "one billion, six hundred forty-two million, eight hundred seventy-one thousand, one hundred sixty".