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672084864 = 2734117183
BaseRepresentation
bin101000000011110…
…011001110000000
31201211122110010000
4220003303032000
52334023203424
6150405040000
722440425043
oct5003631600
91654573100
10672084864
11315413340
121690b6000
13a9317369
146538cc5a
153e00b3c9
hex280f3380

672084864 has 320 divisors, whose sum is σ = 2239332480. Its totient is φ = 198374400.

The previous prime is 672084857. The next prime is 672084887. The reversal of 672084864 is 468480276.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8097367 + ... + 8097449.

It is an arithmetic number, because the mean of its divisors is an integer number (6997914).

Almost surely, 2672084864 is an apocalyptic number.

672084864 is a gapful number since it is divisible by the number (64) 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 672084864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119666240).

672084864 is an abundant number, since it is smaller than the sum of its proper divisors (1567247616).

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

672084864 is a wasteful number, since it uses less digits than its factorization.

672084864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 672084864 is about 25924.5995918934. The cubic root of 672084864 is about 875.9406978058.

The spelling of 672084864 in words is "six hundred seventy-two million, eighty-four thousand, eight hundred sixty-four".