1022672640 has 432 divisors, whose sum is σ = 3758082048. Its totient is φ = 236544000.

The previous prime is 1022672639. The next prime is 1022672641. The reversal of 1022672640 is 462762201.

It is an interprime number because it is at equal distance from previous prime (1022672639) and next prime (1022672641).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1022672598 and 1022672607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022672641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14403805 + ... + 14403875.

It is an arithmetic number, because the mean of its divisors is an integer number (8699264).

Almost surely, 2^1022672640 is an apocalyptic number.

1022672640 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 1022672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879041024).

1022672640 is an abundant number, since it is smaller than the sum of its proper divisors (2735409408).

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

1022672640 is a wasteful number, since it uses less digits than its factorization.

1022672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 1022672640 is about 31979.2532745841. The cubic root of 1022672640 is about 1007.5011388929.

The spelling of 1022672640 in words is "one billion, twenty-two million, six hundred seventy-two thousand, six hundred forty".