97749360 has 120 divisors (see below), whose sum is σ = 331169280. Its totient is φ = 25837056.

The previous prime is 97749329. The next prime is 97749361. The reversal of 97749360 is 6394779.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (97749361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90906 + ... + 91974.

It is an arithmetic number, because the mean of its divisors is an integer number (2759744).

Almost surely, 2^97749360 is an apocalyptic number.

97749360 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 97749360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165584640).

97749360 is an abundant number, since it is smaller than the sum of its proper divisors (233419920).

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

97749360 is a wasteful number, since it uses less digits than its factorization.

97749360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 97749360 is about 9886.8276003984. The cubic root of 97749360 is about 460.6502461144.

The spelling of 97749360 in words is "ninety-seven million, seven hundred forty-nine thousand, three hundred sixty".