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4801680 = 243551319

4801680 has 240 divisors, whose sum is σ = 18957120. Its totient is φ = 1119744.

The previous prime is 4801679. The next prime is 4801691. The reversal of 4801680 is 861084.

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

It is a super-2 number, since 2×48016802 = 46112261644800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252711 + ... + 252729.

It is an arithmetic number, because the mean of its divisors is an integer number (78988).

Almost surely, 24801680 is an apocalyptic number.

4801680 is a gapful number since it is divisible by the number (40) 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 4801680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9478560).

4801680 is an abundant number, since it is smaller than the sum of its proper divisors (14155440).

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

4801680 is a wasteful number, since it uses less digits than its factorization.

4801680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 4801680 is about 2191.2736022688. The cubic root of 4801680 is about 168.7062108603.

The spelling of 4801680 in words is "four million, eight hundred one thousand, six hundred eighty".