1019874960 has 120 divisors (see below), whose sum is σ = 3688581624. Its totient is φ = 251043840.

The previous prime is 1019874953. The next prime is 1019874967. The reversal of 1019874960 is 694789101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1019874953) and next prime (1019874967).

It can be written as a sum of positive squares in 4 ways, for example, as 73205136 + 946669824 = 8556^2 + 30768^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1019874967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45121 + ... + 63840.

Almost surely, 2^1019874960 is an apocalyptic number.

1019874960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1019874960 is an abundant number, since it is smaller than the sum of its proper divisors (2668706664).

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

1019874960 is a wasteful number, since it uses less digits than its factorization.

1019874960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108993 (or 108984 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1019874960 is about 31935.4812082110. The cubic root of 1019874960 is about 1006.5815745120.

It can be divided in two parts, 10198 and 74960, that added together give a palindrome (85158).

The spelling of 1019874960 in words is "one billion, nineteen million, eight hundred seventy-four thousand, nine hundred sixty".