84864960 has 168 divisors, whose sum is σ = 296387520. Its totient is φ = 22284288.

The previous prime is 84864959. The next prime is 84864961. The reversal of 84864960 is 6946848.

It is a happy number.

84864960 is a `hidden beast` number, since 84 + 86 + 496 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (84864959) and next prime (84864961).

It is a super-2 number, since 2×84864960² = 14404122871603200, 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 (84864961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227334 + ... + 227706.

Almost surely, 2^84864960 is an apocalyptic number.

84864960 is a gapful number since it is divisible by the number (80) 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 84864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148193760).

84864960 is an abundant number, since it is smaller than the sum of its proper divisors (211522560).

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

84864960 is a wasteful number, since it uses less digits than its factorization.

84864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 84864960 is about 9212.2179739735. The cubic root of 84864960 is about 439.4500014954.

The spelling of 84864960 in words is "eighty-four million, eight hundred sixty-four thousand, nine hundred sixty".