1142676864 has 288 divisors, whose sum is σ = 3954450240. Its totient is φ = 315463680.

The previous prime is 1142676839. The next prime is 1142676907. The reversal of 1142676864 is 4686762411.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1749562 + ... + 1750214.

It is an arithmetic number, because the mean of its divisors is an integer number (13730730).

Almost surely, 2^1142676864 is an apocalyptic number.

1142676864 is a gapful number since it is divisible by the number (14) 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 1142676864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977225120).

1142676864 is an abundant number, since it is smaller than the sum of its proper divisors (2811773376).

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

1142676864 is a wasteful number, since it uses less digits than its factorization.

1142676864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 696 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 1142676864 is about 33803.5037237266. The cubic root of 1142676864 is about 1045.4609396376.

The spelling of 1142676864 in words is "one billion, one hundred forty-two million, six hundred seventy-six thousand, eight hundred sixty-four".