672908640 has 96 divisors (see below), whose sum is σ = 2177007840. Its totient is φ = 174587904.

The previous prime is 672908623. The next prime is 672908651. The reversal of 672908640 is 46809276.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 672908592 and 672908601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1185 + ... + 36704.

It is an arithmetic number, because the mean of its divisors is an integer number (22677165).

Almost surely, 2^672908640 is an apocalyptic number.

672908640 is a gapful number since it is divisible by the number (60) 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 672908640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088503920).

672908640 is an abundant number, since it is smaller than the sum of its proper divisors (1504099200).

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

672908640 is a wasteful number, since it uses less digits than its factorization.

672908640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37944 (or 37936 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 672908640 is about 25940.4826477843. The cubic root of 672908640 is about 876.2984325452.

The spelling of 672908640 in words is "six hundred seventy-two million, nine hundred eight thousand, six hundred forty".