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897088320 = 263252329467
BaseRepresentation
bin110101011110000…
…111101101000000
32022112000210211100
4311132013231000
53314123311240
6225003414400
731142060562
oct6536075500
92275023740
10897088320
11420423807
12210524400
13113b172bb
14871dd332
1553b53e30
hex35787b40

897088320 has 336 divisors, whose sum is σ = 3337925760. Its totient is φ = 220459008.

The previous prime is 897088303. The next prime is 897088327. The reversal of 897088320 is 23880798.

897088320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (897088327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1920727 + ... + 1921193.

Almost surely, 2897088320 is an apocalyptic number.

897088320 is a gapful number since it is divisible by the number (80) 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 897088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668962880).

897088320 is an abundant number, since it is smaller than the sum of its proper divisors (2440837440).

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

897088320 is a wasteful number, since it uses less digits than its factorization.

897088320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 897088320 is about 29951.4326869350. The cubic root of 897088320 is about 964.4470760183.

The spelling of 897088320 in words is "eight hundred ninety-seven million, eighty-eight thousand, three hundred twenty".