99951840 has 192 divisors, whose sum is σ = 370681920. Its totient is φ = 25067520.

The previous prime is 99951833. The next prime is 99951851. The reversal of 99951840 is 4815999.

99951840 is a `hidden beast` number, since 9 + 99 + 518 + 40 = 666.

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 31 ways as a sum of consecutive naturals, for example, 72760 + ... + 74120.

It is an arithmetic number, because the mean of its divisors is an integer number (1930635).

Almost surely, 2^99951840 is an apocalyptic number.

99951840 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 99951840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185340960).

99951840 is an abundant number, since it is smaller than the sum of its proper divisors (270730080).

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

99951840 is a wasteful number, since it uses less digits than its factorization.

99951840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 99951840 is about 9997.5917100070. The cubic root of 99951840 is about 464.0843584235.

The spelling of 99951840 in words is "ninety-nine million, nine hundred fifty-one thousand, eight hundred forty".