98096040 has 288 divisors, whose sum is σ = 380933280. Its totient is φ = 21821184.

The previous prime is 98096039. The next prime is 98096051. The reversal of 98096040 is 4069089.

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 = 98095986 and 98096004.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1181839 + ... + 1181921.

It is an arithmetic number, because the mean of its divisors is an integer number (1322685).

Almost surely, 2^98096040 is an apocalyptic number.

98096040 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 98096040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190466640).

98096040 is an abundant number, since it is smaller than the sum of its proper divisors (282837240).

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

98096040 is a wasteful number, since it uses less digits than its factorization.

98096040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 98096040 is about 9904.3445012782. The cubic root of 98096040 is about 461.1941876197.

It can be divided in two parts, 980 and 96040, that added together give a triangular number (97020 = T₄₄₀).

The spelling of 98096040 in words is "ninety-eight million, ninety-six thousand, forty".