96798240 has 480 divisors, whose sum is σ = 430303104. Its totient is φ = 19906560.

The previous prime is 96798211. The next prime is 96798281. The reversal of 96798240 is 4289769.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 997872 + ... + 997968.

Almost surely, 2^96798240 is an apocalyptic number.

96798240 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 96798240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215151552).

96798240 is an abundant number, since it is smaller than the sum of its proper divisors (333504864).

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

96798240 is a wasteful number, since it uses less digits than its factorization.

96798240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 96798240 is about 9838.6096578734. The cubic root of 96798240 is about 459.1513021642.

The spelling of 96798240 in words is "ninety-six million, seven hundred ninety-eight thousand, two hundred forty".