1673865648 has 560 divisors, whose sum is σ = 6375425280. Its totient is φ = 413185536.

The previous prime is 1673865643. The next prime is 1673865671. The reversal of 1673865648 is 8465683761.

1673865648 is a `hidden beast` number, since 1 + 6 + 73 + 8 + 6 + 564 + 8 = 666.

It is a super-3 number, since 3×1673865648³ (a number of 29 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1673865594 and 1673865603.

It is not an unprimeable number, because it can be changed into a prime (1673865643) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 20167015 + ... + 20167097.

It is an arithmetic number, because the mean of its divisors is an integer number (11384688).

Almost surely, 2^1673865648 is an apocalyptic number.

1673865648 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 1673865648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187712640).

1673865648 is an abundant number, since it is smaller than the sum of its proper divisors (4701559632).

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

1673865648 is a wasteful number, since it uses less digits than its factorization.

1673865648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 127 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 1673865648 is about 40912.9031969133. The cubic root of 1673865648 is about 1187.3357167823.

The spelling of 1673865648 in words is "one billion, six hundred seventy-three million, eight hundred sixty-five thousand, six hundred forty-eight".