84261940 has 48 divisors (see below), whose sum is σ = 206946432. Its totient is φ = 28215936.

The previous prime is 84261917. The next prime is 84261943. The reversal of 84261940 is 4916248.

It is a junction number, because it is equal to n+sod(n) for n = 84261896 and 84261905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84261943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 979 + ... + 13018.

It is an arithmetic number, because the mean of its divisors is an integer number (4311384).

Almost surely, 2^84261940 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 84261940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103473216).

84261940 is an abundant number, since it is smaller than the sum of its proper divisors (122684492).

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

84261940 is a wasteful number, since it uses less digits than its factorization.

84261940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14056 (or 14054 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 84261940 is about 9179.4302655448. The cubic root of 84261940 is about 438.4066683079.

The spelling of 84261940 in words is "eighty-four million, two hundred sixty-one thousand, nine hundred forty".