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630627840 = 29325101271
BaseRepresentation
bin100101100101101…
…001111000000000
31121221122012202200
4211211221320000
52242420042330
6142324313200
721425151063
oct4545517000
91557565680
10630627840
112a3a78037
12157242800
13a086058b
145da7a8da
153a56ca60
hex25969e00

630627840 has 240 divisors, whose sum is σ = 2213804736. Its totient is φ = 165888000.

The previous prime is 630627827. The next prime is 630627853. The reversal of 630627840 is 48726036.

It is an interprime number because it is at equal distance from previous prime (630627827) and next prime (630627853).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 630627795 and 630627804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2326905 + ... + 2327175.

Almost surely, 2630627840 is an apocalyptic number.

630627840 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 630627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106902368).

630627840 is an abundant number, since it is smaller than the sum of its proper divisors (1583176896).

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

630627840 is a wasteful number, since it uses less digits than its factorization.

630627840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 630627840 is about 25112.3045537442. The cubic root of 630627840 is about 857.5465679193.

The spelling of 630627840 in words is "six hundred thirty million, six hundred twenty-seven thousand, eight hundred forty".