86451840 has 128 divisors (see below), whose sum is σ = 306244800. Its totient is φ = 23049216.

The previous prime is 86451787. The next prime is 86451853. The reversal of 86451840 is 4815468.

86451840 is a `hidden beast` number, since 8 + 645 + 1 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 86451795 and 86451804.

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, 14779 + ... + 19781.

Almost surely, 2^86451840 is an apocalyptic number.

86451840 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 86451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153122400).

86451840 is an abundant number, since it is smaller than the sum of its proper divisors (219792960).

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

86451840 is a wasteful number, since it uses less digits than its factorization.

86451840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5031 (or 5013 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 86451840 is about 9297.9481607503. The cubic root of 86451840 is about 442.1721789154.

The spelling of 86451840 in words is "eighty-six million, four hundred fifty-one thousand, eight hundred forty".