634055040 has 288 divisors, whose sum is σ = 2288622960. Its totient is φ = 167961600.

The previous prime is 634055039. The next prime is 634055041. The reversal of 634055040 is 40550436.

It is an interprime number because it is at equal distance from previous prime (634055039) and next prime (634055041).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 634054995 and 634055013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634055041) 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 35 ways as a sum of consecutive naturals, for example, 4198965 + ... + 4199115.

Almost surely, 2^634055040 is an apocalyptic number.

634055040 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 634055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144311480).

634055040 is an abundant number, since it is smaller than the sum of its proper divisors (1654567920).

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

634055040 is an frugal number, since it uses more digits than its factorization.

634055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 634055040 is about 25180.4495591322. The cubic root of 634055040 is about 859.0972318644.

The spelling of 634055040 in words is "six hundred thirty-four million, fifty-five thousand, forty".