906752 has 80 divisors (see below), whose sum is σ = 2356992. Its totient is φ = 337920.

The previous prime is 906751. The next prime is 906757. The reversal of 906752 is 257609.

906752 is nontrivially palindromic in base 13.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39413 + ... + 39435.

2⁹⁰⁶⁷⁵² is an apocalyptic number.

906752 is a gapful number since it is divisible by the number (92) 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 906752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178496).

906752 is an abundant number, since it is smaller than the sum of its proper divisors (1450240).

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

906752 is a wasteful number, since it uses less digits than its factorization.

906752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 906752 is about 952.2352650475. The cubic root of 906752 is about 96.7897810400.

It can be divided in two parts, 9067 and 52, that added together give a palindrome (9119).

The spelling of 906752 in words is "nine hundred six thousand, seven hundred fifty-two".