677082432 has 112 divisors (see below), whose sum is σ = 1961318912. Its totient is φ = 204871680.

The previous prime is 677082397. The next prime is 677082433. The reversal of 677082432 is 234280776.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677082433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150033 + ... + 154479.

It is an arithmetic number, because the mean of its divisors is an integer number (17511776).

Almost surely, 2^677082432 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 677082432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980659456).

677082432 is an abundant number, since it is smaller than the sum of its proper divisors (1284236480).

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

677082432 is a wasteful number, since it uses less digits than its factorization.

677082432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4536 (or 4526 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 677082432 is about 26020.8076738598. The cubic root of 677082432 is about 878.1064795459.

The spelling of 677082432 in words is "six hundred seventy-seven million, eighty-two thousand, four hundred thirty-two".