1506106440 has 192 divisors, whose sum is σ = 5299862400. Its totient is φ = 380391552.

The previous prime is 1506106439. The next prime is 1506106499. The reversal of 1506106440 is 446016051.

1506106440 is a `hidden beast` number, since 1 + 5 + 0 + 6 + 10 + 644 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 387949 + ... + 391811.

It is an arithmetic number, because the mean of its divisors is an integer number (27603450).

Almost surely, 2^1506106440 is an apocalyptic number.

1506106440 is a gapful number since it is divisible by the number (10) 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 1506106440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649931200).

1506106440 is an abundant number, since it is smaller than the sum of its proper divisors (3793755960).

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

1506106440 is a wasteful number, since it uses less digits than its factorization.

1506106440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3921 (or 3892 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1506106440 is about 38808.5871940734. The cubic root of 1506106440 is about 1146.2655013805.

The spelling of 1506106440 in words is "one billion, five hundred six million, one hundred six thousand, four hundred forty".