99950760 has 384 divisors, whose sum is σ = 418279680. Its totient is φ = 20901888.

The previous prime is 99950759. The next prime is 99950777. The reversal of 99950760 is 6705999.

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 95 ways as a sum of consecutive naturals, for example, 884464 + ... + 884576.

It is an arithmetic number, because the mean of its divisors is an integer number (1089270).

Almost surely, 2^99950760 is an apocalyptic number.

99950760 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 99950760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209139840).

99950760 is an abundant number, since it is smaller than the sum of its proper divisors (318328920).

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

99950760 is a wasteful number, since it uses less digits than its factorization.

99950760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 99950760 is about 9997.5376968532. The cubic root of 99950760 is about 464.0826869088.

The spelling of 99950760 in words is "ninety-nine million, nine hundred fifty thousand, seven hundred sixty".