98076960 has 192 divisors, whose sum is σ = 349090560. Its totient is φ = 25712640.

The previous prime is 98076943. The next prime is 98076967. The reversal of 98076960 is 6967089.

It is a super-3 number, since 3×98076960³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98076967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315205 + ... + 315515.

It is an arithmetic number, because the mean of its divisors is an integer number (1818180).

Almost surely, 2^98076960 is an apocalyptic number.

98076960 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 98076960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174545280).

98076960 is an abundant number, since it is smaller than the sum of its proper divisors (251013600).

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

98076960 is a wasteful number, since it uses less digits than its factorization.

98076960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 98076960 is about 9903.3812407682. The cubic root of 98076960 is about 461.1642844225.

The spelling of 98076960 in words is "ninety-eight million, seventy-six thousand, nine hundred sixty".