634374720 has 448 divisors, whose sum is σ = 2712476160. Its totient is φ = 136249344.

The previous prime is 634374619. The next prime is 634374721. The reversal of 634374720 is 27473436.

It is a happy number.

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 (36).

It is not an unprimeable number, because it can be changed into a prime (634374721) 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, 1027852 + ... + 1028468.

Almost surely, 2^634374720 is an apocalyptic number.

634374720 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 634374720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356238080).

634374720 is an abundant number, since it is smaller than the sum of its proper divisors (2078101440).

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

634374720 is a wasteful number, since it uses less digits than its factorization.

634374720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 634374720 is about 25186.7965410451. The cubic root of 634374720 is about 859.2415884492.

The spelling of 634374720 in words is "six hundred thirty-four million, three hundred seventy-four thousand, seven hundred twenty".