1290544164 has 360 divisors, whose sum is σ = 4366352760. Its totient is φ = 331164288.

The previous prime is 1290544141. The next prime is 1290544169. The reversal of 1290544164 is 4614450921.

1290544164 is a `hidden beast` number, since 12 + 90 + 544 + 16 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 158760000 + 1131784164 = 12600^2 + 33642^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1290544169) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 34879554 + ... + 34879590.

Almost surely, 2^1290544164 is an apocalyptic number.

1290544164 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 1290544164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183176380).

1290544164 is an abundant number, since it is smaller than the sum of its proper divisors (3075808596).

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

1290544164 is a wasteful number, since it uses less digits than its factorization.

1290544164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1290544164 is about 35924.1445827176. The cubic root of 1290544164 is about 1088.7402791142.

The spelling of 1290544164 in words is "one billion, two hundred ninety million, five hundred forty-four thousand, one hundred sixty-four".