673251840 has 120 divisors (see below), whose sum is σ = 2331740268. Its totient is φ = 179527680.

The previous prime is 673251797. The next prime is 673251841. The reversal of 673251840 is 48152376.

It can be written as a sum of positive squares in 2 ways, for example, as 578306304 + 94945536 = 24048^2 + 9744^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 673251795 and 673251804.

It is not an unprimeable number, because it can be changed into a prime (673251841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8430 + ... + 37650.

Almost surely, 2^673251840 is an apocalyptic number.

673251840 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 673251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165870134).

673251840 is an abundant number, since it is smaller than the sum of its proper divisors (1658488428).

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

673251840 is a wasteful number, since it uses less digits than its factorization.

673251840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29250 (or 29231 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 673251840 is about 25947.0969474429. The cubic root of 673251840 is about 876.4473851615.

The spelling of 673251840 in words is "six hundred seventy-three million, two hundred fifty-one thousand, eight hundred forty".