1142094624 has 192 divisors, whose sum is σ = 3474938880. Its totient is φ = 325022720.

The previous prime is 1142094607. The next prime is 1142094637. The reversal of 1142094624 is 4264902411.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1432594 + ... + 1433390.

It is an arithmetic number, because the mean of its divisors is an integer number (18098640).

Almost surely, 2^1142094624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142094624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737469440).

1142094624 is an abundant number, since it is smaller than the sum of its proper divisors (2332844256).

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

1142094624 is a wasteful number, since it uses less digits than its factorization.

1142094624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 1142094624 is about 33794.8905013761. The cubic root of 1142094624 is about 1045.2833412826.

The spelling of 1142094624 in words is "one billion, one hundred forty-two million, ninety-four thousand, six hundred twenty-four".