1670628960 has 1152 divisors, whose sum is σ = 8189475840. Its totient is φ = 298598400.

The previous prime is 1670628931. The next prime is 1670628961. The reversal of 1670628960 is 698260761.

1670628960 is a `hidden beast` number, since 16 + 7 + 0 + 628 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×1670628960² = 5582002243981363200, 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 not an unprimeable number, because it can be changed into a prime (1670628961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27387330 + ... + 27387390.

It is an arithmetic number, because the mean of its divisors is an integer number (7108920).

Almost surely, 2^1670628960 is an apocalyptic number.

1670628960 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 1670628960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4094737920).

1670628960 is an abundant number, since it is smaller than the sum of its proper divisors (6518846880).

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

1670628960 is a wasteful number, since it uses less digits than its factorization.

1670628960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1670628960 is about 40873.3282226931. The cubic root of 1670628960 is about 1186.5699215550.

The spelling of 1670628960 in words is "one billion, six hundred seventy million, six hundred twenty-eight thousand, nine hundred sixty".