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64620864 = 26327113147
BaseRepresentation
bin1111011010000…
…0100101000000
311111121002011100
43312200211000
5113020331424
610225014400
71413161010
oct366404500
9144532140
1064620864
1133527680
1219784400
13105072c9
148821c40
155a16dc9
hex3da0940

64620864 has 336 divisors, whose sum is σ = 243449856. Its totient is φ = 15897600.

The previous prime is 64620847. The next prime is 64620877. The reversal of 64620864 is 46802646.

It is a happy number.

64620864 is a `hidden beast` number, since 646 + 2 + 0 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1374889 + ... + 1374935.

Almost surely, 264620864 is an apocalyptic number.

64620864 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 64620864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121724928).

64620864 is an abundant number, since it is smaller than the sum of its proper divisors (178828992).

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

64620864 is a wasteful number, since it uses less digits than its factorization.

64620864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 64620864 is about 8038.7103443276. The cubic root of 64620864 is about 401.2893064240.

The spelling of 64620864 in words is "sixty-four million, six hundred twenty thousand, eight hundred sixty-four".