99761760 has 192 divisors, whose sum is σ = 399168000. Its totient is φ = 22795776.

The previous prime is 99761759. The next prime is 99761801. The reversal of 99761760 is 6716799.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28591 + ... + 31889.

It is an arithmetic number, because the mean of its divisors is an integer number (2079000).

Almost surely, 2^99761760 is an apocalyptic number.

99761760 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 99761760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199584000).

99761760 is an abundant number, since it is smaller than the sum of its proper divisors (299406240).

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

99761760 is a wasteful number, since it uses less digits than its factorization.

99761760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3330 (or 3316 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 99761760 is about 9988.0808967489. The cubic root of 99761760 is about 463.7899862112.

The spelling of 99761760 in words is "ninety-nine million, seven hundred sixty-one thousand, seven hundred sixty".