97724880 has 240 divisors, whose sum is σ = 372101184. Its totient is φ = 23639040.

The previous prime is 97724843. The next prime is 97724909. The reversal of 97724880 is 8842779.

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 (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 213612 + ... + 214068.

Almost surely, 2^97724880 is an apocalyptic number.

97724880 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 97724880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186050592).

97724880 is an abundant number, since it is smaller than the sum of its proper divisors (274376304).

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

97724880 is a wasteful number, since it uses less digits than its factorization.

97724880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 97724880 is about 9885.5895120119. The cubic root of 97724880 is about 460.6117883707.

The spelling of 97724880 in words is "ninety-seven million, seven hundred twenty-four thousand, eight hundred eighty".