673157100 has 432 divisors, whose sum is σ = 2593334016. Its totient is φ = 133056000.

The previous prime is 673157087. The next prime is 673157113. The reversal of 673157100 is 1751376.

It is an interprime number because it is at equal distance from previous prime (673157087) and next prime (673157113).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3719010 + ... + 3719190.

It is an arithmetic number, because the mean of its divisors is an integer number (6003088).

Almost surely, 2^673157100 is an apocalyptic number.

673157100 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 673157100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296667008).

673157100 is an abundant number, since it is smaller than the sum of its proper divisors (1920176916).

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

673157100 is a wasteful number, since it uses less digits than its factorization.

673157100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 673157100 is about 25945.2712454505. The cubic root of 673157100 is about 876.4062720072.

The spelling of 673157100 in words is "six hundred seventy-three million, one hundred fifty-seven thousand, one hundred".