86415420 has 384 divisors, whose sum is σ = 338688000. Its totient is φ = 16257024.

The previous prime is 86415419. The next prime is 86415431. The reversal of 86415420 is 2451468.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4548171 + ... + 4548189.

It is an arithmetic number, because the mean of its divisors is an integer number (882000).

Almost surely, 2^86415420 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 86415420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344000).

86415420 is an abundant number, since it is smaller than the sum of its proper divisors (252272580).

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

86415420 is a wasteful number, since it uses less digits than its factorization.

86415420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 66 counting only the distinct ones).

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

The square root of 86415420 is about 9295.9894578253. The cubic root of 86415420 is about 442.1100781639.

Adding to 86415420 its reverse (2451468), we get a palindrome (88866888).

The spelling of 86415420 in words is "eighty-six million, four hundred fifteen thousand, four hundred twenty".