99282960 has 120 divisors (see below), whose sum is σ = 381076800. Its totient is φ = 22692096.

The previous prime is 99282949. The next prime is 99282983. The reversal of 99282960 is 6928299.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×99282960² = 19714212292723200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4810 + ... + 14889.

It is an arithmetic number, because the mean of its divisors is an integer number (3175640).

Almost surely, 2^99282960 is an apocalyptic number.

99282960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

99282960 is an abundant number, since it is smaller than the sum of its proper divisors (281793840).

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

99282960 is a wasteful number, since it uses less digits than its factorization.

99282960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19725 (or 19716 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 99282960 is about 9964.0835002523. The cubic root of 99282960 is about 463.0468195108.

The spelling of 99282960 in words is "ninety-nine million, two hundred eighty-two thousand, nine hundred sixty".