97238880 has 288 divisors, whose sum is σ = 358289568. Its totient is φ = 24883200.

The previous prime is 97238879. The next prime is 97238881. The reversal of 97238880 is 8883279.

It is an interprime number because it is at equal distance from previous prime (97238879) and next prime (97238881).

It is a tau number, because it is divible by the number of its divisors (288).

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 (97238881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1594050 + ... + 1594110.

It is an arithmetic number, because the mean of its divisors is an integer number (1244061).

Almost surely, 2^97238880 is an apocalyptic number.

97238880 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 97238880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179144784).

97238880 is an abundant number, since it is smaller than the sum of its proper divisors (261050688).

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

97238880 is a wasteful number, since it uses less digits than its factorization.

97238880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 97238880 is about 9860.9776391593. The cubic root of 97238880 is about 459.8469560186.

The spelling of 97238880 in words is "ninety-seven million, two hundred thirty-eight thousand, eight hundred eighty".