1016534960 has 80 divisors (see below), whose sum is σ = 2843270400. Its totient is φ = 330179328.

The previous prime is 1016534951. The next prime is 1016534969. The reversal of 1016534960 is 694356101.

It is an interprime number because it is at equal distance from previous prime (1016534951) and next prime (1016534969).

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 (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1016534960.

It is not an unprimeable number, because it can be changed into a prime (1016534969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37130 + ... + 58409.

It is an arithmetic number, because the mean of its divisors is an integer number (35540880).

Almost surely, 2^1016534960 is an apocalyptic number.

1016534960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1016534960 is an abundant number, since it is smaller than the sum of its proper divisors (1826735440).

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

1016534960 is a wasteful number, since it uses less digits than its factorization.

1016534960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95578 (or 95572 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 1016534960 is about 31883.1453906292. The cubic root of 1016534960 is about 1005.4815510295.

The spelling of 1016534960 in words is "one billion, sixteen million, five hundred thirty-four thousand, nine hundred sixty".