96612120 has 192 divisors, whose sum is σ = 354032640. Its totient is φ = 22636800.

The previous prime is 96612101. The next prime is 96612179. The reversal of 96612120 is 2121669.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122367 + ... + 123153.

It is an arithmetic number, because the mean of its divisors is an integer number (1843920).

Almost surely, 2^96612120 is an apocalyptic number.

96612120 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 96612120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177016320).

96612120 is an abundant number, since it is smaller than the sum of its proper divisors (257420520).

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

96612120 is a wasteful number, since it uses less digits than its factorization.

96612120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 96612120 is about 9829.1464532786. The cubic root of 96612120 is about 458.8568337584.

Adding to 96612120 its reverse (2121669), we get a palindrome (98733789).

It can be divided in two parts, 9661 and 2120, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 96612120 in words is "ninety-six million, six hundred twelve thousand, one hundred twenty".