97849440 has 144 divisors (see below), whose sum is σ = 359665488. Its totient is φ = 24081408.

The previous prime is 97849417. The next prime is 97849457. The reversal of 97849440 is 4494879.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 16107 + ... + 21333.

It is an arithmetic number, because the mean of its divisors is an integer number (2497677).

Almost surely, 2^97849440 is an apocalyptic number.

97849440 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 97849440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179832744).

97849440 is an abundant number, since it is smaller than the sum of its proper divisors (261816048).

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

97849440 is a wasteful number, since it uses less digits than its factorization.

97849440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5261 (or 5250 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 97849440 is about 9891.8875852893. The cubic root of 97849440 is about 460.8074036716.

It can be divided in two parts, 97849 and 440, that added together give a palindrome (98289).

The spelling of 97849440 in words is "ninety-seven million, eight hundred forty-nine thousand, four hundred forty".