97885440 has 216 divisors, whose sum is σ = 351547560. Its totient is φ = 25116672.

The previous prime is 97885433. The next prime is 97885441. The reversal of 97885440 is 4458879.

It can be written as a sum of positive squares in 4 ways, for example, as 32080896 + 65804544 = 5664^2 + 8112^2 .

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 (97885441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333934 + ... + 334226.

It is an arithmetic number, because the mean of its divisors is an integer number (1627535).

Almost surely, 2^97885440 is an apocalyptic number.

97885440 is a gapful number since it is divisible by the number (90) 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 97885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175773780).

97885440 is an abundant number, since it is smaller than the sum of its proper divisors (253662120).

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

97885440 is a wasteful number, since it uses less digits than its factorization.

97885440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 97885440 is about 9893.7070908735. The cubic root of 97885440 is about 460.8639089600.

The spelling of 97885440 in words is "ninety-seven million, eight hundred eighty-five thousand, four hundred forty".