677633000 has 64 divisors (see below), whose sum is σ = 1729840320. Its totient is φ = 246408000.

The previous prime is 677632997. The next prime is 677633003. The reversal of 677633000 is 336776.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (677632997) and next prime (677633003).

It is not an unprimeable number, because it can be changed into a prime (677633003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19802 + ... + 41801.

It is an arithmetic number, because the mean of its divisors is an integer number (27028755).

Almost surely, 2^677633000 is an apocalyptic number.

It is an amenable number.

677633000 is an abundant number, since it is smaller than the sum of its proper divisors (1052207320).

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

677633000 is a wasteful number, since it uses less digits than its factorization.

677633000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61635 (or 61621 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 32.

The square root of 677633000 is about 26031.3849036120. The cubic root of 677633000 is about 878.3444251410.

Adding to 677633000 its reverse (336776), we get a palindrome (677969776).

The spelling of 677633000 in words is "six hundred seventy-seven million, six hundred thirty-three thousand".