1016506260 has 480 divisors, whose sum is σ = 4127397120. Its totient is φ = 203212800.

The previous prime is 1016506247. The next prime is 1016506273. The reversal of 1016506260 is 626056101.

It is a happy number.

1016506260 is a `hidden beast` number, since 1 + 0 + 1 + 650 + 6 + 2 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1016506247) and next prime (1016506273).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3617320 + ... + 3617600.

It is an arithmetic number, because the mean of its divisors is an integer number (8598744).

Almost surely, 2^1016506260 is an apocalyptic number.

1016506260 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 1016506260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063698560).

1016506260 is an abundant number, since it is smaller than the sum of its proper divisors (3110890860).

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

1016506260 is a wasteful number, since it uses less digits than its factorization.

1016506260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1016506260 is about 31882.6953063884. The cubic root of 1016506260 is about 1005.4720882980.

The spelling of 1016506260 in words is "one billion, sixteen million, five hundred six thousand, two hundred sixty".