84279960 has 128 divisors (see below), whose sum is σ = 285048000. Its totient is φ = 22146048.

The previous prime is 84279959. The next prime is 84279961. The reversal of 84279960 is 6997248.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (84279959) and next prime (84279961).

It is a super-2 number, since 2×84279960² = 14206223315203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84279961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78306 + ... + 79374.

Almost surely, 2^84279960 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 84279960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142524000).

84279960 is an abundant number, since it is smaller than the sum of its proper divisors (200768040).

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

84279960 is a wasteful number, since it uses less digits than its factorization.

84279960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 84279960 is about 9180.4117554715. The cubic root of 84279960 is about 438.4379181821.

The spelling of 84279960 in words is "eighty-four million, two hundred seventy-nine thousand, nine hundred sixty".