1672608960 has 224 divisors, whose sum is σ = 6437376000. Its totient is φ = 405457920.

The previous prime is 1672608941. The next prime is 1672608979. The reversal of 1672608960 is 698062761.

It is an interprime number because it is at equal distance from previous prime (1672608941) and next prime (1672608979).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86241 + ... + 103839.

Almost surely, 2^1672608960 is an apocalyptic number.

1672608960 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 1672608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218688000).

1672608960 is an abundant number, since it is smaller than the sum of its proper divisors (4764767040).

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

1672608960 is a wasteful number, since it uses less digits than its factorization.

1672608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17636 (or 17620 counting only the distinct ones).

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

The square root of 1672608960 is about 40897.5422244418. The cubic root of 1672608960 is about 1187.0385037382.

The spelling of 1672608960 in words is "one billion, six hundred seventy-two million, six hundred eight thousand, nine hundred sixty".