98567280 has 400 divisors, whose sum is σ = 408348864. Its totient is φ = 21565440.

The previous prime is 98567267. The next prime is 98567291. The reversal of 98567280 is 8276589.

98567280 is a `hidden beast` number, since 9 + 8 + 567 + 2 + 80 = 666.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1859734 + ... + 1859786.

Almost surely, 2^98567280 is an apocalyptic number.

98567280 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 98567280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204174432).

98567280 is an abundant number, since it is smaller than the sum of its proper divisors (309781584).

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

98567280 is a wasteful number, since it uses less digits than its factorization.

98567280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 98567280 is about 9928.1055594711. The cubic root of 98567280 is about 461.9315128704.

It can be divided in two parts, 985 and 67280, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 98567280 in words is "ninety-eight million, five hundred sixty-seven thousand, two hundred eighty".