96383520 has 288 divisors, whose sum is σ = 355537728. Its totient is φ = 24634368.

The previous prime is 96383513. The next prime is 96383563. The reversal of 96383520 is 2538369.

96383520 = T₂₂₆₄ + T₂₂₆₅ + ... + T₂₃₀₀.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1438527 + ... + 1438593.

It is an arithmetic number, because the mean of its divisors is an integer number (1234506).

Almost surely, 2^96383520 is an apocalyptic number.

96383520 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 96383520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177768864).

96383520 is an abundant number, since it is smaller than the sum of its proper divisors (259154208).

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

96383520 is a wasteful number, since it uses less digits than its factorization.

96383520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 96383520 is about 9817.5108861666. The cubic root of 96383520 is about 458.4946379533.

The spelling of 96383520 in words is "ninety-six million, three hundred eighty-three thousand, five hundred twenty".