96837840 has 120 divisors (see below), whose sum is σ = 354807648. Its totient is φ = 23473920.

The previous prime is 96837827. The next prime is 96837869. The reversal of 96837840 is 4873869.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 1807 + ... + 14033.

Almost surely, 2^96837840 is an apocalyptic number.

96837840 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 96837840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177403824).

96837840 is an abundant number, since it is smaller than the sum of its proper divisors (257969808).

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

96837840 is a wasteful number, since it uses less digits than its factorization.

96837840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12257 (or 12248 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 96837840 is about 9840.6219315651. The cubic root of 96837840 is about 459.2139063075.

The spelling of 96837840 in words is "ninety-six million, eight hundred thirty-seven thousand, eight hundred forty".