677963040 has 96 divisors (see below), whose sum is σ = 2143713600. Its totient is φ = 180102144.

The previous prime is 677962993. The next prime is 677963057. The reversal of 677963040 is 40369776.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 677962983 and 677963001.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 130411 + ... + 135509.

It is an arithmetic number, because the mean of its divisors is an integer number (22330350).

Almost surely, 2^677963040 is an apocalyptic number.

677963040 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 677963040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071856800).

677963040 is an abundant number, since it is smaller than the sum of its proper divisors (1465750560).

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

677963040 is a wasteful number, since it uses less digits than its factorization.

677963040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5394 (or 5386 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The square root of 677963040 is about 26037.7234027862. The cubic root of 677963040 is about 878.4870007159.

The spelling of 677963040 in words is "six hundred seventy-seven million, nine hundred sixty-three thousand, forty".