677117952 has 228 divisors, whose sum is σ = 2290085616. Its totient is φ = 188743680.

The previous prime is 677117951. The next prime is 677118017. The reversal of 677117952 is 259711776.

Its product of digits (185220) is a multiple of the sum of its prime factors (90).

It is a junction number, because it is equal to n+sod(n) for n = 677117898 and 677117907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677117951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16515052 + ... + 16515092.

Almost surely, 2^677117952 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 677117952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145042808).

677117952 is an abundant number, since it is smaller than the sum of its proper divisors (1612967664).

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

677117952 is an frugal number, since it uses more digits than its factorization.

677117952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 53 counting only the distinct ones).

The product of its digits is 185220, while the sum is 45.

The square root of 677117952 is about 26021.4901956056. The cubic root of 677117952 is about 878.1218345432.

The spelling of 677117952 in words is "six hundred seventy-seven million, one hundred seventeen thousand, nine hundred fifty-two".