906029964 has 72 divisors (see below), whose sum is σ = 2627276288. Its totient is φ = 257891040.

The previous prime is 906029959. The next prime is 906029981. The reversal of 906029964 is 469920609.

It is a super-3 number, since 3×906029964³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61659 + ... + 74925.

Almost surely, 2^906029964 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 906029964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313638144).

906029964 is an abundant number, since it is smaller than the sum of its proper divisors (1721246324).

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

906029964 is a wasteful number, since it uses less digits than its factorization.

906029964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13555 (or 13550 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 906029964 is about 30100.3316260801. The cubic root of 906029964 is about 967.6408336140.

The spelling of 906029964 in words is "nine hundred six million, twenty-nine thousand, nine hundred sixty-four".