671737248 has 432 divisors, whose sum is σ = 2516282496. Its totient is φ = 165473280.

The previous prime is 671737247. The next prime is 671737289. The reversal of 671737248 is 842737176.

It is a super-2 number, since 2×671737248² = 902461860701227008, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (671737247) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 9461053 + ... + 9461123.

It is an arithmetic number, because the mean of its divisors is an integer number (5824728).

Almost surely, 2^671737248 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 671737248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258141248).

671737248 is an abundant number, since it is smaller than the sum of its proper divisors (1844545248).

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

671737248 is a wasteful number, since it uses less digits than its factorization.

671737248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 115 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 671737248 is about 25917.8943589174. The cubic root of 671737248 is about 875.7896536300.

The spelling of 671737248 in words is "six hundred seventy-one million, seven hundred thirty-seven thousand, two hundred forty-eight".