99986400 has 180 divisors, whose sum is σ = 364867272. Its totient is φ = 26645760.

The previous prime is 99986353. The next prime is 99986423. The reversal of 99986400 is 468999.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 64029 + ... + 65571.

Almost surely, 2^99986400 is an apocalyptic number.

99986400 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 99986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182433636).

99986400 is an abundant number, since it is smaller than the sum of its proper divisors (264880872).

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

99986400 is a wasteful number, since it uses less digits than its factorization.

99986400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1553 counting only the distinct ones).

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

The square root of 99986400 is about 9999.3199768784. The cubic root of 99986400 is about 464.1378405379.

The spelling of 99986400 in words is "ninety-nine million, nine hundred eighty-six thousand, four hundred".