99773856 has 336 divisors, whose sum is σ = 370185984. Its totient is φ = 25754112.

The previous prime is 99773851. The next prime is 99773873. The reversal of 99773856 is 65837799.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×99773856² = 19909644682217472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2857680) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99773851) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2122825 + ... + 2122871.

It is an arithmetic number, because the mean of its divisors is an integer number (1101744).

Almost surely, 2^99773856 is an apocalyptic number.

99773856 is a gapful number since it is divisible by the number (96) 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 99773856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185092992).

99773856 is an abundant number, since it is smaller than the sum of its proper divisors (270412128).

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

99773856 is a wasteful number, since it uses less digits than its factorization.

99773856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 72 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The square root of 99773856 is about 9988.6864001229. The cubic root of 99773856 is about 463.8087301232.

The spelling of 99773856 in words is "ninety-nine million, seven hundred seventy-three thousand, eight hundred fifty-six".