40687920 has 480 divisors, whose sum is σ = 181988352. Its totient is φ = 8211456.

The previous prime is 40687909. The next prime is 40687921. The reversal of 40687920 is 2978604.

40687920 = T₃₆₅ + T₃₆₆ + ... + T₆₆₃.

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

It is not an unprimeable number, because it can be changed into a prime (40687921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1769029 + ... + 1769051.

Almost surely, 2^40687920 is an apocalyptic number.

40687920 is a gapful number since it is divisible by the number (40) 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 40687920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90994176).

40687920 is an abundant number, since it is smaller than the sum of its proper divisors (141300432).

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

40687920 is a wasteful number, since it uses less digits than its factorization.

40687920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 40687920 is about 6378.7083331972. The cubic root of 40687920 is about 343.9446007777.

The spelling of 40687920 in words is "forty million, six hundred eighty-seven thousand, nine hundred twenty".