84130956 has 144 divisors (see below), whose sum is σ = 266663488. Its totient is φ = 21772800.

The previous prime is 84130939. The next prime is 84130961. The reversal of 84130956 is 65903148.

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

It is a self number, because there is not a number n which added to its sum of digits gives 84130956.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199626 + ... + 200046.

Almost surely, 2^84130956 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 84130956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133331744).

84130956 is an abundant number, since it is smaller than the sum of its proper divisors (182532532).

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

84130956 is a wasteful number, since it uses less digits than its factorization.

84130956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 84130956 is about 9172.2928431227. The cubic root of 84130956 is about 438.1793848320.

The spelling of 84130956 in words is "eighty-four million, one hundred thirty thousand, nine hundred fifty-six".