1074633672 has 64 divisors (see below), whose sum is σ = 3077320320. Its totient is φ = 306344448.

The previous prime is 1074633653. The next prime is 1074633691. The reversal of 1074633672 is 2763364701.

It is an interprime number because it is at equal distance from previous prime (1074633653) and next prime (1074633691).

It is a self number, because there is not a number n which added to its sum of digits gives 1074633672.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69778 + ... + 83774.

It is an arithmetic number, because the mean of its divisors is an integer number (48083130).

Almost surely, 2^1074633672 is an apocalyptic number.

1074633672 is a gapful number since it is divisible by the number (12) 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 1074633672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538660160).

1074633672 is an abundant number, since it is smaller than the sum of its proper divisors (2002686648).

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

1074633672 is a wasteful number, since it uses less digits than its factorization.

1074633672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14470 (or 14466 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 39.

The square root of 1074633672 is about 32781.6056958777. The cubic root of 1074633672 is about 1024.2834323856.

The spelling of 1074633672 in words is "one billion, seventy-four million, six hundred thirty-three thousand, six hundred seventy-two".