97452180 has 288 divisors, whose sum is σ = 367718400. Its totient is φ = 21337344.

The previous prime is 97452167. The next prime is 97452181. The reversal of 97452180 is 8125479.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97452181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 767277 + ... + 767403.

It is an arithmetic number, because the mean of its divisors is an integer number (1276800).

Almost surely, 2^97452180 is an apocalyptic number.

97452180 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 97452180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183859200).

97452180 is an abundant number, since it is smaller than the sum of its proper divisors (270266220).

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

97452180 is a wasteful number, since it uses less digits than its factorization.

97452180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 97452180 is about 9871.7870722580. The cubic root of 97452180 is about 460.1829455050.

The spelling of 97452180 in words is "ninety-seven million, four hundred fifty-two thousand, one hundred eighty".