99967560 has 256 divisors, whose sum is σ = 387072000. Its totient is φ = 20044800.

The previous prime is 99967537. The next prime is 99967573. The reversal of 99967560 is 6576999.

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 63 ways as a sum of consecutive naturals, for example, 286266 + ... + 286614.

It is an arithmetic number, because the mean of its divisors is an integer number (1512000).

Almost surely, 2^99967560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99967560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193536000).

99967560 is an abundant number, since it is smaller than the sum of its proper divisors (287104440).

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

99967560 is a wasteful number, since it uses less digits than its factorization.

99967560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 51.

The square root of 99967560 is about 9998.3778684345. The cubic root of 99967560 is about 464.1086868857.

The spelling of 99967560 in words is "ninety-nine million, nine hundred sixty-seven thousand, five hundred sixty".