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620971680 = 253571971137
BaseRepresentation
bin100101000000110…
…100011010100000
31121021110122000010
4211000310122200
52232432043210
6141341324520
721250113030
oct4500643240
91537418003
10620971680
1129958223a
12153b66740
139b85c384
145c6858c0
15397b1920
hex250346a0

620971680 has 384 divisors, whose sum is σ = 2403717120. Its totient is φ = 131604480.

The previous prime is 620971669. The next prime is 620971697. The reversal of 620971680 is 86179026.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4532572 + ... + 4532708.

It is an arithmetic number, because the mean of its divisors is an integer number (6259680).

Almost surely, 2620971680 is an apocalyptic number.

620971680 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 620971680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201858560).

620971680 is an abundant number, since it is smaller than the sum of its proper divisors (1782745440).

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

620971680 is a wasteful number, since it uses less digits than its factorization.

620971680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 620971680 is about 24919.3033610492. The cubic root of 620971680 is about 853.1471246258.

The spelling of 620971680 in words is "six hundred twenty million, nine hundred seventy-one thousand, six hundred eighty".