97820960 has 96 divisors (see below), whose sum is σ = 239500800. Its totient is φ = 37739520.

The previous prime is 97820953. The next prime is 97820969. The reversal of 97820960 is 6902879.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (97820969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 897386 + ... + 897494.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 2^97820960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97820960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119750400).

97820960 is an abundant number, since it is smaller than the sum of its proper divisors (141679840).

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

97820960 is a wasteful number, since it uses less digits than its factorization.

97820960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 97820960 is about 9890.4479170561. The cubic root of 97820960 is about 460.7626918901.

The spelling of 97820960 in words is "ninety-seven million, eight hundred twenty thousand, nine hundred sixty".