98267040 has 288 divisors, whose sum is σ = 367899840. Its totient is φ = 24482304.

The previous prime is 98267033. The next prime is 98267087. The reversal of 98267040 is 4076289.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×98267040² = 19312822300723200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 98266986 and 98267004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2285259 + ... + 2285301.

It is an arithmetic number, because the mean of its divisors is an integer number (1277430).

Almost surely, 2^98267040 is an apocalyptic number.

98267040 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 98267040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183949920).

98267040 is an abundant number, since it is smaller than the sum of its proper divisors (269632800).

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

98267040 is a wasteful number, since it uses less digits than its factorization.

98267040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 98267040 is about 9912.9733178295. The cubic root of 98267040 is about 461.4620150309.

The spelling of 98267040 in words is "ninety-eight million, two hundred sixty-seven thousand, forty".