906691968 has 480 divisors, whose sum is σ = 3431569680. Its totient is φ = 231413760.

The previous prime is 906691963. The next prime is 906691979. The reversal of 906691968 is 869196609.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906691963) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29248113 + ... + 29248143.

Almost surely, 2^906691968 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 906691968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715784840).

906691968 is an abundant number, since it is smaller than the sum of its proper divisors (2524877712).

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

906691968 is a wasteful number, since it uses less digits than its factorization.

906691968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 906691968 is about 30111.3262411339. The cubic root of 906691968 is about 967.8764498645.

The spelling of 906691968 in words is "nine hundred six million, six hundred ninety-one thousand, nine hundred sixty-eight".