638614080 has 336 divisors, whose sum is σ = 2434736304. Its totient is φ = 152616960.

The previous prime is 638614069. The next prime is 638614087. The reversal of 638614080 is 80416836.

It is a happy number.

638614080 is a `hidden beast` number, since 6 + 38 + 614 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10810944 + 627803136 = 3288^2 + 25056^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638614087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1385050 + ... + 1385510.

It is an arithmetic number, because the mean of its divisors is an integer number (7246239).

Almost surely, 2^638614080 is an apocalyptic number.

638614080 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 638614080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217368152).

638614080 is an abundant number, since it is smaller than the sum of its proper divisors (1796122224).

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

638614080 is a wasteful number, since it uses less digits than its factorization.

638614080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 638614080 is about 25270.8147870226. The cubic root of 638614080 is about 861.1513693407.

The spelling of 638614080 in words is "six hundred thirty-eight million, six hundred fourteen thousand, eighty".