1516676220 has 216 divisors, whose sum is σ = 4896427536. Its totient is φ = 379782144.

The previous prime is 1516676219. The next prime is 1516676261. The reversal of 1516676220 is 226766151.

It is a happy number.

1516676220 is a `hidden beast` number, since 1 + 516 + 67 + 62 + 20 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6509224 + ... + 6509456.

It is an arithmetic number, because the mean of its divisors is an integer number (22668646).

Almost surely, 2^1516676220 is an apocalyptic number.

1516676220 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 1516676220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448213768).

1516676220 is an abundant number, since it is smaller than the sum of its proper divisors (3379751316).

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

1516676220 is a wasteful number, since it uses less digits than its factorization.

1516676220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1516676220 is about 38944.5274717771. The cubic root of 1516676220 is about 1148.9407309674.

The spelling of 1516676220 in words is "one billion, five hundred sixteen million, six hundred seventy-six thousand, two hundred twenty".