920140032 has 180 divisors, whose sum is σ = 2862622000. Its totient is φ = 262370304.

The previous prime is 920140027. The next prime is 920140033. The reversal of 920140032 is 230041029.

It is a super-2 number, since 2×920140032² = 1693315356977922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 920139990 and 920140008.

It is not an unprimeable number, because it can be changed into a prime (920140033) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1843719 + ... + 1844217.

Almost surely, 2^920140032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431311000).

920140032 is an abundant number, since it is smaller than the sum of its proper divisors (1942481968).

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

920140032 is an frugal number, since it uses more digits than its factorization.

920140032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 920140032 is about 30333.8100475361. The cubic root of 920140032 is about 972.6381692077.

The spelling of 920140032 in words is "nine hundred twenty million, one hundred forty thousand, thirty-two".