96742464 has 224 divisors, whose sum is σ = 324307200. Its totient is φ = 25288704.

The previous prime is 96742423. The next prime is 96742469. The reversal of 96742464 is 46424769.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (290304) is a multiple of the sum of its prime factors (162).

It is not an unprimeable number, because it can be changed into a prime (96742469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 856072 + ... + 856184.

It is an arithmetic number, because the mean of its divisors is an integer number (1447800).

Almost surely, 2^96742464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162153600).

96742464 is an abundant number, since it is smaller than the sum of its proper divisors (227564736).

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

96742464 is a wasteful number, since it uses less digits than its factorization.

96742464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 138 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 96742464 is about 9835.7747025844. The cubic root of 96742464 is about 459.0630962098.

The spelling of 96742464 in words is "ninety-six million, seven hundred forty-two thousand, four hundred sixty-four".