1016540928 has 252 divisors, whose sum is σ = 3284115240. Its totient is φ = 312035328.

The previous prime is 1016540927. The next prime is 1016540929. The reversal of 1016540928 is 8290456101.

1016540928 is a `hidden beast` number, since 10 + 16 + 540 + 92 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1016540927) and next prime (1016540929).

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 = 1016540892 and 1016540901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016540927) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2425903 + ... + 2426321.

Almost surely, 2^1016540928 is an apocalyptic number.

1016540928 is a gapful number since it is divisible by the number (18) 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 1016540928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642057620).

1016540928 is an abundant number, since it is smaller than the sum of its proper divisors (2267574312).

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

1016540928 is an frugal number, since it uses more digits than its factorization.

1016540928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1016540928 is about 31883.2389822615. The cubic root of 1016540928 is about 1005.4835187278.

The spelling of 1016540928 in words is "one billion, sixteen million, five hundred forty thousand, nine hundred twenty-eight".