97749120 has 192 divisors, whose sum is σ = 362793600. Its totient is φ = 22321152.

The previous prime is 97749097. The next prime is 97749137. The reversal of 97749120 is 2194779.

It is a tau number, because it is divible by the number of its divisors (192).

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, 93561 + ... + 94599.

It is an arithmetic number, because the mean of its divisors is an integer number (1889550).

Almost surely, 2^97749120 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 97749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181396800).

97749120 is an abundant number, since it is smaller than the sum of its proper divisors (265044480).

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

97749120 is a wasteful number, since it uses less digits than its factorization.

97749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 97749120 is about 9886.8154630295. The cubic root of 97749120 is about 460.6498691089.

The spelling of 97749120 in words is "ninety-seven million, seven hundred forty-nine thousand, one hundred twenty".