1046960640 has 640 divisors, whose sum is σ = 4348650240. Its totient is φ = 238878720.

The previous prime is 1046960627. The next prime is 1046960669. The reversal of 1046960640 is 460696401.

1046960640 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 9 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×1046960640² = 2192253163418419200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1046960595 and 1046960604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61585912 + ... + 61585928.

It is an arithmetic number, because the mean of its divisors is an integer number (6794766).

Almost surely, 2^1046960640 is an apocalyptic number.

1046960640 is a gapful number since it is divisible by the number (10) 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 1046960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174325120).

1046960640 is an abundant number, since it is smaller than the sum of its proper divisors (3301689600).

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

1046960640 is an frugal number, since it uses more digits than its factorization.

1046960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1046960640 is about 32356.7711615359. The cubic root of 1046960640 is about 1015.4147123946.

The spelling of 1046960640 in words is "one billion, forty-six million, nine hundred sixty thousand, six hundred forty".