10363920 has 160 divisors (see below), whose sum is σ = 38092800. Its totient is φ = 2280960.

The previous prime is 10363919. The next prime is 10363943. The reversal of 10363920 is 2936301.

It is a super-3 number, since 3×10363920³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 51981 + ... + 52179.

It is an arithmetic number, because the mean of its divisors is an integer number (238080).

Almost surely, 2^10363920 is an apocalyptic number.

10363920 is a gapful number since it is divisible by the number (10) 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 10363920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19046400).

10363920 is an abundant number, since it is smaller than the sum of its proper divisors (27728880).

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

10363920 is a wasteful number, since it uses less digits than its factorization.

10363920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 10363920 is about 3219.3042726651. The cubic root of 10363920 is about 218.0258645630.

The spelling of 10363920 in words is "ten million, three hundred sixty-three thousand, nine hundred twenty".