897361920 has 576 divisors, whose sum is σ = 3863583360. Its totient is φ = 187564032.

The previous prime is 897361901. The next prime is 897361937. The reversal of 897361920 is 29163798.

897361920 is a `hidden beast` number, since 8 + 9 + 7 + 3 + 619 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 8386507 + ... + 8386613.

It is an arithmetic number, because the mean of its divisors is an integer number (6707610).

Almost surely, 2^897361920 is an apocalyptic number.

897361920 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 897361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931791680).

897361920 is an abundant number, since it is smaller than the sum of its proper divisors (2966221440).

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

897361920 is a wasteful number, since it uses less digits than its factorization.

897361920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 897361920 is about 29955.9997329416. Note that the first 3 decimals coincide. The cubic root of 897361920 is about 964.5451138936.

The spelling of 897361920 in words is "eight hundred ninety-seven million, three hundred sixty-one thousand, nine hundred twenty".