1516825840 has 80 divisors (see below), whose sum is σ = 3569334048. Its totient is φ = 599436288.

The previous prime is 1516825823. The next prime is 1516825853. The reversal of 1516825840 is 485286151.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1516825793 and 1516825802.

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, 3820522 + ... + 3820918.

Almost surely, 2^1516825840 is an apocalyptic number.

1516825840 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 1516825840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784667024).

1516825840 is an abundant number, since it is smaller than the sum of its proper divisors (2052508208).

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

1516825840 is a wasteful number, since it uses less digits than its factorization.

1516825840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 40.

The square root of 1516825840 is about 38946.4483618211. The cubic root of 1516825840 is about 1148.9785106986.

The spelling of 1516825840 in words is "one billion, five hundred sixteen million, eight hundred twenty-five thousand, eight hundred forty".