86154240 has 176 divisors, whose sum is σ = 282977280. Its totient is φ = 22364160.

The previous prime is 86154223. The next prime is 86154253. The reversal of 86154240 is 4245168.

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

It is a junction number, because it is equal to n+sod(n) for n = 86154198 and 86154207.

It is a congruent number.

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, 1090521 + ... + 1090599.

Almost surely, 2^86154240 is an apocalyptic number.

86154240 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 86154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141488640).

86154240 is an abundant number, since it is smaller than the sum of its proper divisors (196823040).

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

86154240 is a wasteful number, since it uses less digits than its factorization.

86154240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

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

The square root of 86154240 is about 9281.9308336143. The cubic root of 86154240 is about 441.6642208638.

The spelling of 86154240 in words is "eighty-six million, one hundred fifty-four thousand, two hundred forty".