1516406140 has 24 divisors (see below), whose sum is σ = 3214218672. Its totient is φ = 600892800.

The previous prime is 1516406107. The next prime is 1516406153. The reversal of 1516406140 is 416046151.

It is a junction number, because it is equal to n+sod(n) for n = 1516406099 and 1516406108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 352161 + ... + 356440.

It is an arithmetic number, because the mean of its divisors is an integer number (133925778).

Almost surely, 2^1516406140 is an apocalyptic number.

1516406140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1516406140 is an abundant number, since it is smaller than the sum of its proper divisors (1697812532).

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

1516406140 is a wasteful number, since it uses less digits than its factorization.

1516406140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708717 (or 708715 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 1516406140 is about 38941.0598212221. The cubic root of 1516406140 is about 1148.8725282467.

The spelling of 1516406140 in words is "one billion, five hundred sixteen million, four hundred six thousand, one hundred forty".