905141632 has 64 divisors (see below), whose sum is σ = 1917444960. Its totient is φ = 424652800.

The previous prime is 905141617. The next prime is 905141641. The reversal of 905141632 is 236141509.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×905141632³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 905141594 and 905141603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153132 + ... + 158932.

Almost surely, 2^905141632 is an apocalyptic number.

905141632 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 905141632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958722480).

905141632 is an abundant number, since it is smaller than the sum of its proper divisors (1012303328).

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

905141632 is a wasteful number, since it uses less digits than its factorization.

905141632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5891 (or 5879 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 905141632 is about 30085.5718243812. The cubic root of 905141632 is about 967.3244837374.

The spelling of 905141632 in words is "nine hundred five million, one hundred forty-one thousand, six hundred thirty-two".