634011840 has 448 divisors, whose sum is σ = 2791480320. Its totient is φ = 131604480.

The previous prime is 634011839. The next prime is 634011841. The reversal of 634011840 is 48110436.

It is an interprime number because it is at equal distance from previous prime (634011839) and next prime (634011841).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (634011841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 664804 + ... + 665756.

Almost surely, 2^634011840 is an apocalyptic number.

634011840 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 634011840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395740160).

634011840 is an abundant number, since it is smaller than the sum of its proper divisors (2157468480).

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

634011840 is a wasteful number, since it uses less digits than its factorization.

634011840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 634011840 is about 25179.5917361660. The cubic root of 634011840 is about 859.0777204966.

The spelling of 634011840 in words is "six hundred thirty-four million, eleven thousand, eight hundred forty".