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627994080 = 253357191093
BaseRepresentation
bin100101011011100…
…110110111100000
31121202200101221000
4211123212313200
52241231302310
6142152032000
721363601350
oct4533466740
91552611830
10627994080
112a253927a
12156392600
13a014a83c
145d592b60
153a1ec4c0
hex256e6de0

627994080 has 384 divisors, whose sum is σ = 2646604800. Its totient is φ = 135862272.

The previous prime is 627994079. The next prime is 627994109. The reversal of 627994080 is 80499726.

It is a happy number.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 574014 + ... + 575106.

It is an arithmetic number, because the mean of its divisors is an integer number (6892200).

Almost surely, 2627994080 is an apocalyptic number.

627994080 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 627994080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323302400).

627994080 is an abundant number, since it is smaller than the sum of its proper divisors (2018610720).

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

627994080 is a wasteful number, since it uses less digits than its factorization.

627994080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 627994080 is about 25059.8100551461. The cubic root of 627994080 is about 856.3510802580.

The spelling of 627994080 in words is "six hundred twenty-seven million, nine hundred ninety-four thousand, eighty".