96142464 has 192 divisors, whose sum is σ = 314102880. Its totient is φ = 29030400.

The previous prime is 96142441. The next prime is 96142481. The reversal of 96142464 is 46424169.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342004 + ... + 342284.

Almost surely, 2^96142464 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 96142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157051440).

96142464 is an abundant number, since it is smaller than the sum of its proper divisors (217960416).

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

96142464 is a wasteful number, since it uses less digits than its factorization.

96142464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 297 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 96142464 is about 9805.2263614870. The cubic root of 96142464 is about 458.1120858627.

The spelling of 96142464 in words is "ninety-six million, one hundred forty-two thousand, four hundred sixty-four".