906537984 has 176 divisors, whose sum is σ = 2668632960. Its totient is φ = 271319040.

The previous prime is 906537977. The next prime is 906538001. The reversal of 906537984 is 489735609.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×906537984² = 1643622232869568512, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4696992 + ... + 4697184.

Almost surely, 2^906537984 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 906537984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334316480).

906537984 is an abundant number, since it is smaller than the sum of its proper divisors (1762094976).

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

906537984 is a wasteful number, since it uses less digits than its factorization.

906537984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 906537984 is about 30108.7692209429. The cubic root of 906537984 is about 967.8216550976.

The spelling of 906537984 in words is "nine hundred six million, five hundred thirty-seven thousand, nine hundred eighty-four".