906513408 has 264 divisors, whose sum is σ = 2861214720. Its totient is φ = 275374080.

The previous prime is 906513367. The next prime is 906513409. The reversal of 906513408 is 804315609.

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 (906513409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5428141 + ... + 5428307.

Almost surely, 2^906513408 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 906513408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430607360).

906513408 is an abundant number, since it is smaller than the sum of its proper divisors (1954701312).

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

906513408 is a wasteful number, since it uses less digits than its factorization.

906513408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 906513408 is about 30108.3610978745. The cubic root of 906513408 is about 967.8129092239.

The spelling of 906513408 in words is "nine hundred six million, five hundred thirteen thousand, four hundred eight".