906987072 has 56 divisors (see below), whose sum is σ = 2408419872. Its totient is φ = 301235200.

The previous prime is 906987061. The next prime is 906987091. The reversal of 906987072 is 270789609.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45547 + ... + 62357.

Almost surely, 2^906987072 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 906987072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204209936).

906987072 is an abundant number, since it is smaller than the sum of its proper divisors (1501432800).

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

906987072 is a wasteful number, since it uses less digits than its factorization.

906987072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17107 (or 17097 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 906987072 is about 30116.2260583892. The cubic root of 906987072 is about 967.9814444454.

It can be divided in two parts, 9069 and 87072, that added together give a triangular number (96141 = T₄₃₈).

The spelling of 906987072 in words is "nine hundred six million, nine hundred eighty-seven thousand, seventy-two".