96797340 has 144 divisors (see below), whose sum is σ = 310722048. Its totient is φ = 24342912.

The previous prime is 96797263. The next prime is 96797359. The reversal of 96797340 is 4379769.

96797340 = T₄₀₅ + T₄₀₆ + ... + T₈₆₄.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 426307 + ... + 426533.

It is an arithmetic number, because the mean of its divisors is an integer number (2157792).

Almost surely, 2^96797340 is an apocalyptic number.

96797340 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 96797340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155361024).

96797340 is an abundant number, since it is smaller than the sum of its proper divisors (213924708).

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

96797340 is a wasteful number, since it uses less digits than its factorization.

96797340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 96797340 is about 9838.5639195972. The cubic root of 96797340 is about 459.1498791444.

The spelling of 96797340 in words is "ninety-six million, seven hundred ninety-seven thousand, three hundred forty".