920726352 has 400 divisors, whose sum is σ = 3384422272. Its totient is φ = 235146240.

The previous prime is 920726351. The next prime is 920726371. The reversal of 920726352 is 253627029.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920726351) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4363527 + ... + 4363737.

Almost surely, 2^920726352 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 920726352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692211136).

920726352 is an abundant number, since it is smaller than the sum of its proper divisors (2463695920).

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

920726352 is a wasteful number, since it uses less digits than its factorization.

920726352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 920726352 is about 30343.4729719589. The cubic root of 920726352 is about 972.8447160760.

The spelling of 920726352 in words is "nine hundred twenty million, seven hundred twenty-six thousand, three hundred fifty-two".