951920640 has 384 divisors, whose sum is σ = 3703190400. Its totient is φ = 230031360.

The previous prime is 951920603. The next prime is 951920647. The reversal of 951920640 is 46029159.

951920640 is a `hidden beast` number, since 9 + 5 + 1 + 9 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 951920595 and 951920604.

It is not an unprimeable number, because it can be changed into a prime (951920647) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3041124 + ... + 3041436.

It is an arithmetic number, because the mean of its divisors is an integer number (9643725).

Almost surely, 2^951920640 is an apocalyptic number.

951920640 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 951920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851595200).

951920640 is an abundant number, since it is smaller than the sum of its proper divisors (2751269760).

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

951920640 is a wasteful number, since it uses less digits than its factorization.

951920640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 951920640 is about 30853.2111780930. The cubic root of 951920640 is about 983.7096109206.

Adding to 951920640 its reverse (46029159), we get a palindrome (997949799).

The spelling of 951920640 in words is "nine hundred fifty-one million, nine hundred twenty thousand, six hundred forty".