97760520 has 320 divisors, whose sum is σ = 387858240. Its totient is φ = 21772800.

The previous prime is 97760477. The next prime is 97760563. The reversal of 97760520 is 2506779.

97760520 is a `hidden beast` number, since 9 + 77 + 60 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (97760477) and next prime (97760563).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 463215 + ... + 463425.

It is an arithmetic number, because the mean of its divisors is an integer number (1212057).

Almost surely, 2^97760520 is an apocalyptic number.

97760520 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 97760520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193929120).

97760520 is an abundant number, since it is smaller than the sum of its proper divisors (290097720).

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

97760520 is a wasteful number, since it uses less digits than its factorization.

97760520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 97760520 is about 9887.3919715970. The cubic root of 97760520 is about 460.6677761904.

The spelling of 97760520 in words is "ninety-seven million, seven hundred sixty thousand, five hundred twenty".