946628640 has 288 divisors, whose sum is σ = 3502517760. Its totient is φ = 238754304.

The previous prime is 946628611. The next prime is 946628651. The reversal of 946628640 is 46826649.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×946628640² = 1792211564136499200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1559217 + ... + 1559823.

It is an arithmetic number, because the mean of its divisors is an integer number (12161520).

Almost surely, 2^946628640 is an apocalyptic number.

946628640 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 946628640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751258880).

946628640 is an abundant number, since it is smaller than the sum of its proper divisors (2555889120).

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

946628640 is a wasteful number, since it uses less digits than its factorization.

946628640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 946628640 is about 30767.3307259502. The cubic root of 946628640 is about 981.8833144221.

The spelling of 946628640 in words is "nine hundred forty-six million, six hundred twenty-eight thousand, six hundred forty".