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168669648 = 24337172193
BaseRepresentation
bin10100000110110…
…11000111010000
3102202101022021000
422003123013100
5321134412043
624423102000
74115445150
oct1203330720
9382338230
10168669648
1187234004
12485a1900
1328c37934
1418588760
15ec1b2d3
hexa0db1d0

168669648 has 240 divisors, whose sum is σ = 590815360. Its totient is φ = 45121536.

The previous prime is 168669647. The next prime is 168669671. The reversal of 168669648 is 846966861.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 168669594 and 168669603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168669647) 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, 873840 + ... + 874032.

Almost surely, 2168669648 is an apocalyptic number.

168669648 is a gapful number since it is divisible by the number (18) 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 168669648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295407680).

168669648 is an abundant number, since it is smaller than the sum of its proper divisors (422145712).

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

168669648 is a wasteful number, since it uses less digits than its factorization.

168669648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 222 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 168669648 is about 12987.2879385960. The cubic root of 168669648 is about 552.5170014492.

The spelling of 168669648 in words is "one hundred sixty-eight million, six hundred sixty-nine thousand, six hundred forty-eight".