906278736 has 80 divisors (see below), whose sum is σ = 2562835968. Its totient is φ = 273686400.

The previous prime is 906278717. The next prime is 906278753. The reversal of 906278736 is 637872609.

It is a super-2 number, since 2×906278736² = 1642682294651515392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 159301 + ... + 164891.

Almost surely, 2^906278736 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 906278736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281417984).

906278736 is an abundant number, since it is smaller than the sum of its proper divisors (1656557232).

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

906278736 is a wasteful number, since it uses less digits than its factorization.

906278736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5920 (or 5914 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 906278736 is about 30104.4637221791. The cubic root of 906278736 is about 967.7293884177.

The spelling of 906278736 in words is "nine hundred six million, two hundred seventy-eight thousand, seven hundred thirty-six".