97787520 has 128 divisors (see below), whose sum is σ = 346392000. Its totient is φ = 26072064.

The previous prime is 97787447. The next prime is 97787531. The reversal of 97787520 is 2578779.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14451 + ... + 20109.

Almost surely, 2^97787520 is an apocalyptic number.

97787520 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 97787520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173196000).

97787520 is an abundant number, since it is smaller than the sum of its proper divisors (248604480).

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

97787520 is a wasteful number, since it uses less digits than its factorization.

97787520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5687 (or 5669 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 97787520 is about 9888.7572525571. The cubic root of 97787520 is about 460.7101821469.

The spelling of 97787520 in words is "ninety-seven million, seven hundred eighty-seven thousand, five hundred twenty".