906178680 has 288 divisors, whose sum is σ = 3293952480. Its totient is φ = 215846400.

The previous prime is 906178661. The next prime is 906178697. The reversal of 906178680 is 86871609.

It is a happy number.

It is a super-3 number, since 3×906178680³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3092614 + ... + 3092906.

It is an arithmetic number, because the mean of its divisors is an integer number (11437335).

Almost surely, 2^906178680 is an apocalyptic number.

906178680 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 906178680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646976240).

906178680 is an abundant number, since it is smaller than the sum of its proper divisors (2387773800).

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

906178680 is a wasteful number, since it uses less digits than its factorization.

906178680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 906178680 is about 30102.8018629496. The cubic root of 906178680 is about 967.6937736591.

The spelling of 906178680 in words is "nine hundred six million, one hundred seventy-eight thousand, six hundred eighty".