1074969840 has 480 divisors, whose sum is σ = 4335793920. Its totient is φ = 218308608.

The previous prime is 1074969839. The next prime is 1074969871. The reversal of 1074969840 is 489694701.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1074969840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3798339 + ... + 3798621.

It is an arithmetic number, because the mean of its divisors is an integer number (9032904).

Almost surely, 2^1074969840 is an apocalyptic number.

1074969840 is a gapful number since it is divisible by the number (10) 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 1074969840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167896960).

1074969840 is an abundant number, since it is smaller than the sum of its proper divisors (3260824080).

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

1074969840 is a wasteful number, since it uses less digits than its factorization.

1074969840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 1074969840 is about 32786.7326825959. The cubic root of 1074969840 is about 1024.3902270461.

The spelling of 1074969840 in words is "one billion, seventy-four million, nine hundred sixty-nine thousand, eight hundred forty".