10407978 has 96 divisors (see below), whose sum is σ = 28169856. Its totient is φ = 2709504.

The previous prime is 10407967. The next prime is 10408007. The reversal of 10407978 is 87970401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92050 + ... + 92162.

It is an arithmetic number, because the mean of its divisors is an integer number (293436).

Almost surely, 2^10407978 is an apocalyptic number.

10407978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10407978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14084928).

10407978 is an abundant number, since it is smaller than the sum of its proper divisors (17761878).

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

10407978 is a wasteful number, since it uses less digits than its factorization.

10407978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 10407978 is about 3226.1397985828. The cubic root of 10407978 is about 218.3343772975.

The spelling of 10407978 in words is "ten million, four hundred seven thousand, nine hundred seventy-eight".