667653552 has 60 divisors (see below), whose sum is σ = 1882819224. Its totient is φ = 220846080.

The previous prime is 667653551. The next prime is 667653587. The reversal of 667653552 is 255356766.

667653552 is a `hidden beast` number, since 6 + 67 + 6 + 535 + 52 = 666.

It is a super-2 number, since 2×667653552² = 891522530996433408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 667653498 and 667653507.

It is not an unprimeable number, because it can be changed into a prime (667653551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1168 + ... + 36560.

Almost surely, 2^667653552 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 667653552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941409612).

667653552 is an abundant number, since it is smaller than the sum of its proper divisors (1215165672).

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

667653552 is a wasteful number, since it uses less digits than its factorization.

667653552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35538 (or 35529 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 45.

The square root of 667653552 is about 25838.9928596298. The cubic root of 667653552 is about 874.0113140808.

The spelling of 667653552 in words is "six hundred sixty-seven million, six hundred fifty-three thousand, five hundred fifty-two".