8154824040 has 640 divisors, whose sum is σ = 31630832640. Its totient is φ = 1881792000.

The previous prime is 8154824033. The next prime is 8154824057. The reversal of 8154824040 is 404284518.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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 = 8154823986 and 8154824004.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 133685610 + ... + 133685670.

It is an arithmetic number, because the mean of its divisors is an integer number (49423176).

Almost surely, 2^8154824040 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 8154824040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15815416320).

8154824040 is an abundant number, since it is smaller than the sum of its proper divisors (23476008600).

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

8154824040 is a wasteful number, since it uses less digits than its factorization.

8154824040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 8154824040 is about 90304.0643603598. The cubic root of 8154824040 is about 2012.8196559747.

The spelling of 8154824040 in words is "eight billion, one hundred fifty-four million, eight hundred twenty-four thousand, forty".