99629280 has 144 divisors (see below), whose sum is σ = 348107760. Its totient is φ = 25933824.

The previous prime is 99629273. The next prime is 99629281. The reversal of 99629280 is 8292699.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99629281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61116 + ... + 62724.

It is an arithmetic number, because the mean of its divisors is an integer number (2417415).

Almost surely, 2^99629280 is an apocalyptic number.

99629280 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 99629280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174053880).

99629280 is an abundant number, since it is smaller than the sum of its proper divisors (248478480).

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

99629280 is a wasteful number, since it uses less digits than its factorization.

99629280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1662 counting only the distinct ones).

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

The square root of 99629280 is about 9981.4467889179. The cubic root of 99629280 is about 463.5845965060.

It can be divided in two parts, 996 and 29280, that added together give a square (30276 = 174²).

The spelling of 99629280 in words is "ninety-nine million, six hundred twenty-nine thousand, two hundred eighty".