98951040 has 192 divisors, whose sum is σ = 350859600. Its totient is φ = 25681920.

The previous prime is 98951029. The next prime is 98951051. The reversal of 98951040 is 4015989.

It is an interprime number because it is at equal distance from previous prime (98951029) and next prime (98951051).

It is a tau number, because it is divible by the number of its divisors (192).

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 = 98950986 and 98951004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235951 + ... + 236369.

Almost surely, 2^98951040 is an apocalyptic number.

98951040 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 98951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175429800).

98951040 is an abundant number, since it is smaller than the sum of its proper divisors (251908560).

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

98951040 is a wasteful number, since it uses less digits than its factorization.

98951040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 98951040 is about 9947.4137342326. The cubic root of 98951040 is about 462.5302283627.

The spelling of 98951040 in words is "ninety-eight million, nine hundred fifty-one thousand, forty".