86454120 has 64 divisors (see below), whose sum is σ = 263257920. Its totient is φ = 22708224.

The previous prime is 86454101. The next prime is 86454139. The reversal of 86454120 is 2145468.

It is an interprime number because it is at equal distance from previous prime (86454101) and next prime (86454139).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2664 + ... + 13416.

It is an arithmetic number, because the mean of its divisors is an integer number (4113405).

Almost surely, 2^86454120 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 86454120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131628960).

86454120 is an abundant number, since it is smaller than the sum of its proper divisors (176803800).

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

86454120 is a wasteful number, since it uses less digits than its factorization.

86454120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10834 (or 10830 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 86454120 is about 9298.0707676378. The cubic root of 86454120 is about 442.1760660264.

Adding to 86454120 its reverse (2145468), we get a palindrome (88599588).

The spelling of 86454120 in words is "eighty-six million, four hundred fifty-four thousand, one hundred twenty".