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622080 = 29355
BaseRepresentation
bin10010111111000000000
31011121100000
42113320000
5124401310
621200000
75200434
oct2277000
91147300
10622080
11395418
12260000
1318a1c4
141229c4
15c44c0
hex97e00

622080 has 120 divisors (see below), whose sum is σ = 2234232. Its totient is φ = 165888.

The previous prime is 622073. The next prime is 622091. The reversal of 622080 is 80226.

It is a Jordan-Polya number, since it can be written as 6! ⋅ 4! ⋅ (3!)2.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

622080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124414 + ... + 124418.

2622080 is an apocalyptic number.

622080 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 622080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117116).

622080 is an abundant number, since it is smaller than the sum of its proper divisors (1612152).

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

622080 is an frugal number, since it uses more digits than its factorization.

622080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 622080 is about 788.7204828074. The cubic root of 622080 is about 85.3654393078.

622080 divided by its product of nonzero digits (192) gives a triangular number (3240 = T80).

The spelling of 622080 in words is "six hundred twenty-two thousand, eighty".