97800024 has 64 divisors (see below), whose sum is σ = 281376000. Its totient is φ = 27748224.

The previous prime is 97800023. The next prime is 97800029. The reversal of 97800024 is 42000879.

It is a junction number, because it is equal to n+sod(n) for n = 97799964 and 97800000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97800023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23079 + ... + 26985.

It is an arithmetic number, because the mean of its divisors is an integer number (4396500).

Almost surely, 2^97800024 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 97800024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140688000).

97800024 is an abundant number, since it is smaller than the sum of its proper divisors (183575976).

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

97800024 is a wasteful number, since it uses less digits than its factorization.

97800024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4072 (or 4068 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 97800024 is about 9889.3894654827. The cubic root of 97800024 is about 460.7298181720.

The spelling of 97800024 in words is "ninety-seven million, eight hundred thousand, twenty-four".