526889664 has 224 divisors, whose sum is σ = 1813194240. Its totient is φ = 146893824.

The previous prime is 526889659. The next prime is 526889689. The reversal of 526889664 is 466988625.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×526889664² = 555225436060065792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 526889664.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 519622 + ... + 520634.

Almost surely, 2^526889664 is an apocalyptic number.

526889664 is a gapful number since it is divisible by the number (54) 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 526889664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906597120).

526889664 is an abundant number, since it is smaller than the sum of its proper divisors (1286304576).

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

526889664 is a wasteful number, since it uses less digits than its factorization.

526889664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1068 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 526889664 is about 22954.0772848747. The cubic root of 526889664 is about 807.6810491617.

The spelling of 526889664 in words is "five hundred twenty-six million, eight hundred eighty-nine thousand, six hundred sixty-four".