1074924144 has 240 divisors, whose sum is σ = 3673425600. Its totient is φ = 286433280.

The previous prime is 1074924143. The next prime is 1074924173. The reversal of 1074924144 is 4414294701.

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 = 1074924099 and 1074924108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1074924143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2553054 + ... + 2553474.

It is an arithmetic number, because the mean of its divisors is an integer number (15305940).

Almost surely, 2^1074924144 is an apocalyptic number.

1074924144 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 1074924144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836712800).

1074924144 is an abundant number, since it is smaller than the sum of its proper divisors (2598501456).

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

1074924144 is a wasteful number, since it uses less digits than its factorization.

1074924144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1074924144 is about 32786.0358079473. The cubic root of 1074924144 is about 1024.3757115383.

The spelling of 1074924144 in words is "one billion, seventy-four million, nine hundred twenty-four thousand, one hundred forty-four".