534919680 has 320 divisors, whose sum is σ = 1944518400. Its totient is φ = 139345920.

The previous prime is 534919669. The next prime is 534919709. The reversal of 534919680 is 86919435.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×534919680² = 572278128102604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4907466 + ... + 4907574.

It is an arithmetic number, because the mean of its divisors is an integer number (6076620).

Almost surely, 2^534919680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972259200).

534919680 is an abundant number, since it is smaller than the sum of its proper divisors (1409598720).

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

534919680 is a wasteful number, since it uses less digits than its factorization.

534919680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 534919680 is about 23128.3306790611. The cubic root of 534919680 is about 811.7635102840.

The spelling of 534919680 in words is "five hundred thirty-four million, nine hundred nineteen thousand, six hundred eighty".