634677840 has 120 divisors (see below), whose sum is σ = 2139726888. Its totient is φ = 168591360.

The previous prime is 634677821. The next prime is 634677877. The reversal of 634677840 is 48776436.

634677840 is a `hidden beast` number, since 634 + 6 + 7 + 7 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 317980224 + 316697616 = 17832^2 + 17796^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 200752 + ... + 203888.

Almost surely, 2^634677840 is an apocalyptic number.

634677840 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 634677840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069863444).

634677840 is an abundant number, since it is smaller than the sum of its proper divisors (1505049048).

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

634677840 is a wasteful number, since it uses less digits than its factorization.

634677840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3437 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 634677840 is about 25192.8132609282. The cubic root of 634677840 is about 859.3784223158.

The spelling of 634677840 in words is "six hundred thirty-four million, six hundred seventy-seven thousand, eight hundred forty".