97841520 has 240 divisors, whose sum is σ = 389975040. Its totient is φ = 22332672.

The previous prime is 97841519. The next prime is 97841521. The reversal of 97841520 is 2514879.

97841520 is a `hidden beast` number, since 97 + 8 + 41 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (97841519) and next prime (97841521).

It is a tau number, because it is divible by the number of its divisors (240).

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 (97841521) 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, 135721 + ... + 136439.

It is an arithmetic number, because the mean of its divisors is an integer number (1624896).

Almost surely, 2^97841520 is an apocalyptic number.

97841520 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 97841520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194987520).

97841520 is an abundant number, since it is smaller than the sum of its proper divisors (292133520).

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

97841520 is a wasteful number, since it uses less digits than its factorization.

97841520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 736 counting only the distinct ones).

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

The square root of 97841520 is about 9891.4872491451. The cubic root of 97841520 is about 460.7949706482.

The spelling of 97841520 in words is "ninety-seven million, eight hundred forty-one thousand, five hundred twenty".