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6672960 = 263257331
BaseRepresentation
bin11001011101001001000000
3110120000120200
4121131021000
53202013320
6355005200
7110501460
oct31351100
913500520
106672960
113848548
122299800
1314c83c8
14c59ba0
158bc290
hex65d240

6672960 has 168 divisors, whose sum is σ = 26310336. Its totient is φ = 1520640.

The previous prime is 6672947. The next prime is 6672977. The reversal of 6672960 is 692766.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19995 + ... + 20325.

Almost surely, 26672960 is an apocalyptic number.

6672960 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 6672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13155168).

6672960 is an abundant number, since it is smaller than the sum of its proper divisors (19637376).

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

6672960 is a wasteful number, since it uses less digits than its factorization.

6672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 6672960 is about 2583.2073087540. The cubic root of 6672960 is about 188.2664096847.

The spelling of 6672960 in words is "six million, six hundred seventy-two thousand, nine hundred sixty".