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670980960 = 253251373491
BaseRepresentation
bin100111111111100…
…101101101100000
31201202120100211200
4213333211231200
52333232342320
6150325241200
722425146466
oct4777455540
91652510750
10670980960
11314829a21
12168863200
13a901ba70
1465182836
153dd8e290
hex27fe5b60

670980960 has 288 divisors, whose sum is σ = 2504724768. Its totient is φ = 162570240.

The previous prime is 670980943. The next prime is 670980967. The reversal of 670980960 is 69089076.

It is a tau number, because it is divible by the number of its divisors (288).

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 (670980967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1366315 + ... + 1366805.

It is an arithmetic number, because the mean of its divisors is an integer number (8696961).

Almost surely, 2670980960 is an apocalyptic number.

670980960 is a gapful number since it is divisible by the number (60) 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 670980960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252362384).

670980960 is an abundant number, since it is smaller than the sum of its proper divisors (1833743808).

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

670980960 is a wasteful number, since it uses less digits than its factorization.

670980960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 670980960 is about 25903.3001758463. The cubic root of 670980960 is about 875.4608554598.

The spelling of 670980960 in words is "six hundred seventy million, nine hundred eighty thousand, nine hundred sixty".