42276960 has 288 divisors, whose sum is σ = 167704992. Its totient is φ = 9584640.

The previous prime is 42276959. The next prime is 42276973. The reversal of 42276960 is 6967224.

It is a happy number.

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 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, 269202 + ... + 269358.

It is an arithmetic number, because the mean of its divisors is an integer number (582309).

Almost surely, 2^42276960 is an apocalyptic number.

42276960 is a gapful number since it is divisible by the number (40) 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 42276960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83852496).

42276960 is an abundant number, since it is smaller than the sum of its proper divisors (125428032).

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

42276960 is a wasteful number, since it uses less digits than its factorization.

42276960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 42276960 is about 6502.0735154257. The cubic root of 42276960 is about 348.3650548912.

The spelling of 42276960 in words is "forty-two million, two hundred seventy-six thousand, nine hundred sixty".