906541972 has 24 divisors (see below), whose sum is σ = 1875605760. Its totient is φ = 375120480.

The previous prime is 906541967. The next prime is 906541973. The reversal of 906541972 is 279145609.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906541973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 557404 + ... + 559027.

It is an arithmetic number, because the mean of its divisors is an integer number (78150240).

Almost surely, 2^906541972 is an apocalyptic number.

It is an amenable number.

906541972 is an abundant number, since it is smaller than the sum of its proper divisors (969063788).

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

906541972 is a wasteful number, since it uses less digits than its factorization.

906541972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116471 (or 1116469 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The square root of 906541972 is about 30108.8354474231. The cubic root of 906541972 is about 967.8230742942.

The spelling of 906541972 in words is "nine hundred six million, five hundred forty-one thousand, nine hundred seventy-two".