40679100 has 216 divisors, whose sum is σ = 159239808. Its totient is φ = 8438400.

The previous prime is 40679087. The next prime is 40679137. The reversal of 40679100 is 197604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69007 + ... + 69593.

Almost surely, 2^40679100 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 40679100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79619904).

40679100 is an abundant number, since it is smaller than the sum of its proper divisors (118560708).

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

40679100 is a wasteful number, since it uses less digits than its factorization.

40679100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 40679100 is about 6378.0169331854. The cubic root of 40679100 is about 343.9197464671.

The spelling of 40679100 in words is "forty million, six hundred seventy-nine thousand, one hundred".