96642144 has 72 divisors (see below), whose sum is σ = 291007080. Its totient is φ = 30317568.

The previous prime is 96642137. The next prime is 96642149. The reversal of 96642144 is 44124669.

96642144 is a `hidden beast` number, since 9 + 6 + 642 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 junction number, because it is equal to n+sod(n) for n = 96642099 and 96642108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96642149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4974 + ... + 14765.

It is an arithmetic number, because the mean of its divisors is an integer number (4041765).

Almost surely, 2^96642144 is an apocalyptic number.

It is an amenable number.

96642144 is an abundant number, since it is smaller than the sum of its proper divisors (194364936).

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

96642144 is a wasteful number, since it uses less digits than its factorization.

96642144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19772 (or 19761 counting only the distinct ones).

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

The square root of 96642144 is about 9830.6736290043. The cubic root of 96642144 is about 458.9043615796.

It can be divided in two parts, 966421 and 44, that multiplied together give a palindrome (42522524).

The spelling of 96642144 in words is "ninety-six million, six hundred forty-two thousand, one hundred forty-four".