906153984 has 156 divisors (see below), whose sum is σ = 2678260416. Its totient is φ = 295059456.

The previous prime is 906153967. The next prime is 906153991. The reversal of 906153984 is 489351609.

It is a happy number.

It is a super-2 number, since 2×906153984² = 1642230085438144512, which contains 22 as substring.

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1732347 + ... + 1732869.

It is an arithmetic number, because the mean of its divisors is an integer number (17168336).

Almost surely, 2^906153984 is an apocalyptic number.

906153984 is a gapful number since it is divisible by the number (94) 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 906153984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339130208).

906153984 is an abundant number, since it is smaller than the sum of its proper divisors (1772106432).

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

906153984 is a wasteful number, since it uses less digits than its factorization.

906153984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 906153984 is about 30102.3916657796. The cubic root of 906153984 is about 967.6849827576.

The spelling of 906153984 in words is "nine hundred six million, one hundred fifty-three thousand, nine hundred eighty-four".