677631360 has 256 divisors, whose sum is σ = 2494218240. Its totient is φ = 153280512.

The previous prime is 677631349. The next prime is 677631377. The reversal of 677631360 is 63136776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1706682 + ... + 1707078.

It is an arithmetic number, because the mean of its divisors is an integer number (9743040).

Almost surely, 2^677631360 is an apocalyptic number.

677631360 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 677631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247109120).

677631360 is an abundant number, since it is smaller than the sum of its proper divisors (1816586880).

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

677631360 is a wasteful number, since it uses less digits than its factorization.

677631360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 39.

The square root of 677631360 is about 26031.3534031560. The cubic root of 677631360 is about 878.3437165539.

The spelling of 677631360 in words is "six hundred seventy-seven million, six hundred thirty-one thousand, three hundred sixty".