923742720 has 120 divisors (see below), whose sum is σ = 3199260636. Its totient is φ = 246325248.

The previous prime is 923742697. The next prime is 923742739. The reversal of 923742720 is 27247329.

It can be written as a sum of positive squares in 2 ways, for example, as 821166336 + 102576384 = 28656^2 + 10128^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×923742720² = 1706601225505996800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2994 + ... + 43086.

Almost surely, 2^923742720 is an apocalyptic number.

923742720 is a gapful number since it is divisible by the number (90) 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 923742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599630318).

923742720 is an abundant number, since it is smaller than the sum of its proper divisors (2275517916).

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

923742720 is a wasteful number, since it uses less digits than its factorization.

923742720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40122 (or 40103 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 923742720 is about 30393.1360672110. The cubic root of 923742720 is about 973.9059285934.

The spelling of 923742720 in words is "nine hundred twenty-three million, seven hundred forty-two thousand, seven hundred twenty".