98961120 has 144 divisors (see below), whose sum is σ = 355577040. Its totient is φ = 24993792.

The previous prime is 98961119. The next prime is 98961127. The reversal of 98961120 is 2116989.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98961127) 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, 25552 + ... + 29168.

It is an arithmetic number, because the mean of its divisors is an integer number (2469285).

Almost surely, 2^98961120 is an apocalyptic number.

98961120 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 98961120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177788520).

98961120 is an abundant number, since it is smaller than the sum of its proper divisors (256615920).

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

98961120 is a wasteful number, since it uses less digits than its factorization.

98961120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3646 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 98961120 is about 9947.9203856887. The cubic root of 98961120 is about 462.5459335923.

The spelling of 98961120 in words is "ninety-eight million, nine hundred sixty-one thousand, one hundred twenty".