40107676 has 96 divisors (see below), whose sum is σ = 90316800. Its totient is φ = 15523200.

The previous prime is 40107659. The next prime is 40107701. The reversal of 40107676 is 67670104.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 978216 + ... + 978256.

It is an arithmetic number, because the mean of its divisors is an integer number (940800).

Almost surely, 2^40107676 is an apocalyptic number.

40107676 is a gapful number since it is divisible by the number (46) 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 40107676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45158400).

40107676 is an abundant number, since it is smaller than the sum of its proper divisors (50209124).

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

40107676 is a wasteful number, since it uses less digits than its factorization.

40107676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 40107676 is about 6333.0621345444. The cubic root of 40107676 is about 342.3017866733.

The spelling of 40107676 in words is "forty million, one hundred seven thousand, six hundred seventy-six".