86619456 has 420 divisors, whose sum is σ = 336352896. Its totient is φ = 21772800.

The previous prime is 86619443. The next prime is 86619469. The reversal of 86619456 is 65491668.

It is an interprime number because it is at equal distance from previous prime (86619443) and next prime (86619469).

Its product of digits (311040) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2794161 + ... + 2794191.

Almost surely, 2^86619456 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 86619456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168176448).

86619456 is an abundant number, since it is smaller than the sum of its proper divisors (249733440).

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

86619456 is a wasteful number, since it uses less digits than its factorization.

86619456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 54 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 86619456 is about 9306.9573975602. The cubic root of 86619456 is about 442.4577609782.

The spelling of 86619456 in words is "eighty-six million, six hundred nineteen thousand, four hundred fifty-six".