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625123680 = 25353143977
BaseRepresentation
bin100101010000101…
…010000101100000
31121120021120110220
4211100222011200
52240012424210
6142010323040
721330315006
oct4520520540
91546246426
10625123680
112a0958745
12155429480
139c68418c
145d046a76
1539d31c70
hex2542a160

625123680 has 192 divisors, whose sum is σ = 2082060288. Its totient is φ = 157409280.

The previous prime is 625123673. The next prime is 625123687. The reversal of 625123680 is 86321526.

It is an interprime number because it is at equal distance from previous prime (625123673) and next prime (625123687).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (625123687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 639352 + ... + 640328.

It is an arithmetic number, because the mean of its divisors is an integer number (10844064).

Almost surely, 2625123680 is an apocalyptic number.

625123680 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 625123680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041030144).

625123680 is an abundant number, since it is smaller than the sum of its proper divisors (1456936608).

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

625123680 is a wasteful number, since it uses less digits than its factorization.

625123680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 625123680 is about 25002.4734776382. The cubic root of 625123680 is about 855.0443669053.

The spelling of 625123680 in words is "six hundred twenty-five million, one hundred twenty-three thousand, six hundred eighty".