10377990 has 192 divisors, whose sum is σ = 35366400. Its totient is φ = 2115072.

The previous prime is 10377967. The next prime is 10378021. The reversal of 10377990 is 9977301.

10377990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

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, 546201 + ... + 546219.

It is an arithmetic number, because the mean of its divisors is an integer number (184200).

Almost surely, 2^10377990 is an apocalyptic number.

10377990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10377990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17683200).

10377990 is an abundant number, since it is smaller than the sum of its proper divisors (24988410).

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

10377990 is a wasteful number, since it uses less digits than its factorization.

10377990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 11907, while the sum is 36.

The square root of 10377990 is about 3221.4887862602. The cubic root of 10377990 is about 218.1244835142.

Subtracting from 10377990 its reverse (9977301), we obtain a square (400689 = 633²).

The spelling of 10377990 in words is "ten million, three hundred seventy-seven thousand, nine hundred ninety".