905087820 has 384 divisors, whose sum is σ = 3386880000. Its totient is φ = 178827264.

The previous prime is 905087783. The next prime is 905087831. The reversal of 905087820 is 28780509.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4548081 + ... + 4548279.

It is an arithmetic number, because the mean of its divisors is an integer number (8820000).

Almost surely, 2^905087820 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 905087820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693440000).

905087820 is an abundant number, since it is smaller than the sum of its proper divisors (2481792180).

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

905087820 is a wasteful number, since it uses less digits than its factorization.

905087820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 905087820 is about 30084.6774953630. The cubic root of 905087820 is about 967.3053137368.

The spelling of 905087820 in words is "nine hundred five million, eighty-seven thousand, eight hundred twenty".