673417152 has 336 divisors, whose sum is σ = 2196754560. Its totient is φ = 203793408.

The previous prime is 673417127. The next prime is 673417163. The reversal of 673417152 is 251714376.

It is a happy number.

It is a super-2 number, since 2×673417152² = 906981321215582208, which contains 22 as substring.

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

Its product of digits (35280) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12705958 + ... + 12706010.

It is an arithmetic number, because the mean of its divisors is an integer number (6537960).

Almost surely, 2^673417152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 673417152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098377280).

673417152 is an abundant number, since it is smaller than the sum of its proper divisors (1523337408).

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

673417152 is a wasteful number, since it uses less digits than its factorization.

673417152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 120 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 673417152 is about 25950.2823106031. The cubic root of 673417152 is about 876.5191143444.

The spelling of 673417152 in words is "six hundred seventy-three million, four hundred seventeen thousand, one hundred fifty-two".