906837120 has 768 divisors, whose sum is σ = 4009824000. Its totient is φ = 195084288.

The previous prime is 906837101. The next prime is 906837179. The reversal of 906837120 is 21738609.

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

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, 53343352 + ... + 53343368.

It is an arithmetic number, because the mean of its divisors is an integer number (5221125).

Almost surely, 2^906837120 is an apocalyptic number.

906837120 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 906837120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004912000).

906837120 is an abundant number, since it is smaller than the sum of its proper divisors (3102986880).

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

906837120 is an equidigital number, since it uses as much as digits as its factorization.

906837120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 906837120 is about 30113.7364005199. The cubic root of 906837120 is about 967.9280961093.

The spelling of 906837120 in words is "nine hundred six million, eight hundred thirty-seven thousand, one hundred twenty".