906909696 has 480 divisors, whose sum is σ = 3424861440. Its totient is φ = 232243200.

The previous prime is 906909683. The next prime is 906909737. The reversal of 906909696 is 696909609.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12773341 + ... + 12773411.

It is an arithmetic number, because the mean of its divisors is an integer number (7135128).

Almost surely, 2^906909696 is an apocalyptic number.

906909696 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906909696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712430720).

906909696 is an abundant number, since it is smaller than the sum of its proper divisors (2517951744).

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

906909696 is a wasteful number, since it uses less digits than its factorization.

906909696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1417176, while the sum is 54.

The square root of 906909696 is about 30114.9414078792. The cubic root of 906909696 is about 967.9539171651.

The spelling of 906909696 in words is "nine hundred six million, nine hundred nine thousand, six hundred ninety-six".