672611940 has 288 divisors, whose sum is σ = 2740098816. Its totient is φ = 128977920.

The previous prime is 672611921. The next prime is 672611957. The reversal of 672611940 is 49116276.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 672611895 and 672611904.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178314 + ... + 182046.

It is an arithmetic number, because the mean of its divisors is an integer number (9514232).

Almost surely, 2^672611940 is an apocalyptic number.

672611940 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 672611940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370049408).

672611940 is an abundant number, since it is smaller than the sum of its proper divisors (2067486876).

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

672611940 is a wasteful number, since it uses less digits than its factorization.

672611940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3779 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 672611940 is about 25934.7631568133. The cubic root of 672611940 is about 876.1696206225.

The spelling of 672611940 in words is "six hundred seventy-two million, six hundred eleven thousand, nine hundred forty".