1658001960 has 160 divisors (see below), whose sum is σ = 5664760200. Its totient is φ = 434833920.

The previous prime is 1658001953. The next prime is 1658001973. The reversal of 1658001960 is 691008561.

1658001960 is a `hidden beast` number, since 1 + 6 + 580 + 0 + 19 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1190664036 + 467337924 = 34506^2 + 21618^2 .

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

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 39 ways as a sum of consecutive naturals, for example, 193446 + ... + 201834.

Almost surely, 2^1658001960 is an apocalyptic number.

1658001960 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 1658001960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832380100).

1658001960 is an abundant number, since it is smaller than the sum of its proper divisors (4006758240).

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

1658001960 is a wasteful number, since it uses less digits than its factorization.

1658001960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8473 (or 8460 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1658001960 is about 40718.5702106545. The cubic root of 1658001960 is about 1183.5729014836.

The spelling of 1658001960 in words is "one billion, six hundred fifty-eight million, one thousand, nine hundred sixty".