86945040 has 240 divisors, whose sum is σ = 359643648. Its totient is φ = 18330624.

The previous prime is 86944997. The next prime is 86945057. The reversal of 86945040 is 4054968.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 86944986 and 86945004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64857 + ... + 66183.

Almost surely, 2^86945040 is an apocalyptic number.

86945040 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 86945040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179821824).

86945040 is an abundant number, since it is smaller than the sum of its proper divisors (272698608).

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

86945040 is a wasteful number, since it uses less digits than its factorization.

86945040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 86945040 is about 9324.4324224051. The cubic root of 86945040 is about 443.0114358565.

The spelling of 86945040 in words is "eighty-six million, nine hundred forty-five thousand, forty".