854580132 has 120 divisors (see below), whose sum is σ = 2607838464. Its totient is φ = 238940928.

The previous prime is 854580127. The next prime is 854580137. The reversal of 854580132 is 231085458.

It is a happy number.

854580132 is a `hidden beast` number, since 8 + 545 + 80 + 1 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (854580127) and next prime (854580137).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (854580137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 102588 + ... + 110604.

Almost surely, 2^854580132 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 854580132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303919232).

854580132 is an abundant number, since it is smaller than the sum of its proper divisors (1753258332).

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

854580132 is a wasteful number, since it uses less digits than its factorization.

854580132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8087 (or 8076 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 854580132 is about 29233.2025614711. The cubic root of 854580132 is about 948.9666074194.

The spelling of 854580132 in words is "eight hundred fifty-four million, five hundred eighty thousand, one hundred thirty-two".