1074735090 has 192 divisors, whose sum is σ = 3316360320. Its totient is φ = 238049280.

The previous prime is 1074735059. The next prime is 1074735097. The reversal of 1074735090 is 905374701.

It is a happy number.

1074735090 is a `hidden beast` number, since 10 + 74 + 73 + 509 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (1074735097) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1453941 + ... + 1454679.

It is an arithmetic number, because the mean of its divisors is an integer number (17272710).

Almost surely, 2^1074735090 is an apocalyptic number.

1074735090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1074735090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658180160).

1074735090 is an abundant number, since it is smaller than the sum of its proper divisors (2241625230).

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

1074735090 is a wasteful number, since it uses less digits than its factorization.

1074735090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 1074735090 is about 32783.1525329703. The cubic root of 1074735090 is about 1024.3156534460.

It can be divided in two parts, 1074 and 735090, that added together give a square (736164 = 858²).

The spelling of 1074735090 in words is "one billion, seventy-four million, seven hundred thirty-five thousand, ninety".