534977680 has 40 divisors (see below), whose sum is σ = 1309291200. Its totient is φ = 202727808.

The previous prime is 534977671. The next prime is 534977689. The reversal of 534977680 is 86779435.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (534977671) and next prime (534977689).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×534977680³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (534977689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174460 + ... + 177499.

It is an arithmetic number, because the mean of its divisors is an integer number (32732280).

Almost surely, 2^534977680 is an apocalyptic number.

It is an amenable number.

534977680 is an abundant number, since it is smaller than the sum of its proper divisors (774313520).

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

534977680 is a wasteful number, since it uses less digits than its factorization.

534977680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351991 (or 351985 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

The square root of 534977680 is about 23129.5845185338. The cubic root of 534977680 is about 811.7928483845.

The spelling of 534977680 in words is "five hundred thirty-four million, nine hundred seventy-seven thousand, six hundred eighty".