1664148960 has 72 divisors (see below), whose sum is σ = 5678913240. Its totient is φ = 443772672.

The previous prime is 1664148947. The next prime is 1664148971. The reversal of 1664148960 is 698414661.

1664148960 is a `hidden beast` number, since 166 + 4 + 1 + 489 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1664148960² = 5538783522138163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 576390 + ... + 579269.

It is an arithmetic number, because the mean of its divisors is an integer number (78873795).

Almost surely, 2^1664148960 is an apocalyptic number.

1664148960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1664148960 is an abundant number, since it is smaller than the sum of its proper divisors (4014764280).

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

1664148960 is a wasteful number, since it uses less digits than its factorization.

1664148960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155680 (or 1155669 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1664148960 is about 40793.9819091003. The cubic root of 1664148960 is about 1185.0337863571.

The spelling of 1664148960 in words is "one billion, six hundred sixty-four million, one hundred forty-eight thousand, nine hundred sixty".