906772419 has 24 divisors (see below), whose sum is σ = 1501244160. Its totient is φ = 516649968.

The previous prime is 906772411. The next prime is 906772421. The reversal of 906772419 is 914277609.

It is not a de Polignac number, because 906772419 - 2³ = 906772411 is a prime.

It is a super-2 number, since 2×906772419² = 1644472439718223122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (906772411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1122 + ... + 42600.

It is an arithmetic number, because the mean of its divisors is an integer number (62551840).

Almost surely, 2^906772419 is an apocalyptic number.

906772419 is a deficient number, since it is larger than the sum of its proper divisors (594471741).

906772419 is a wasteful number, since it uses less digits than its factorization.

906772419 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41839 (or 41836 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 906772419 is about 30112.6621041714. The cubic root of 906772419 is about 967.9050756558.

It can be divided in two parts, 90677 and 2419, that added together give a triangular number (93096 = T₄₃₁).

The spelling of 906772419 in words is "nine hundred six million, seven hundred seventy-two thousand, four hundred nineteen".