1516263840 has 1152 divisors, whose sum is σ = 7239456000. Its totient is φ = 292626432.

The previous prime is 1516263839. The next prime is 1516263871. The reversal of 1516263840 is 483626151.

It is a happy number.

1516263840 is a `hidden beast` number, since 1 + 5 + 16 + 2 + 638 + 4 + 0 = 666.

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 = 1516263795 and 1516263804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52284946 + ... + 52284974.

It is an arithmetic number, because the mean of its divisors is an integer number (6284250).

Almost surely, 2^1516263840 is an apocalyptic number.

1516263840 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 1516263840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619728000).

1516263840 is an abundant number, since it is smaller than the sum of its proper divisors (5723192160).

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

1516263840 is a wasteful number, since it uses less digits than its factorization.

1516263840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 78 counting only the distinct ones).

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

The square root of 1516263840 is about 38939.2326580789. The cubic root of 1516263840 is about 1148.8365902768.

Adding to 1516263840 its reverse (483626151), we get a palindrome (1999889991).

It can be divided in two parts, 1516 and 263840, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 1516263840 in words is "one billion, five hundred sixteen million, two hundred sixty-three thousand, eight hundred forty".