677415040 has 32 divisors (see below), whose sum is σ = 1619446860. Its totient is φ = 270965760.

The previous prime is 677415029. The next prime is 677415043. The reversal of 677415040 is 40514776.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 677248576 + 166464 = 26024^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×677415040² = 917782272836403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 677414987 and 677415005.

It is not an unprimeable number, because it can be changed into a prime (677415043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 528591 + ... + 529870.

Almost surely, 2^677415040 is an apocalyptic number.

It is an amenable number.

677415040 is an abundant number, since it is smaller than the sum of its proper divisors (942031820).

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

677415040 is a wasteful number, since it uses less digits than its factorization.

677415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058480 (or 1058468 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 677415040 is about 26027.1980820064. The cubic root of 677415040 is about 878.2502421636.

The spelling of 677415040 in words is "six hundred seventy-seven million, four hundred fifteen thousand, forty".