1007655040 has 128 divisors (see below), whose sum is σ = 2827929600. Its totient is φ = 336089088.

The previous prime is 1007655037. The next prime is 1007655049. The reversal of 1007655040 is 405567001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1007655049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162721 + ... + 168799.

It is an arithmetic number, because the mean of its divisors is an integer number (22093200).

Almost surely, 2^1007655040 is an apocalyptic number.

1007655040 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 1007655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413964800).

1007655040 is an abundant number, since it is smaller than the sum of its proper divisors (1820274560).

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

1007655040 is an equidigital number, since it uses as much as digits as its factorization.

1007655040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6142 (or 6130 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 1007655040 is about 31743.5826585469. The cubic root of 1007655040 is about 1002.5451964789.

The spelling of 1007655040 in words is "one billion, seven million, six hundred fifty-five thousand, forty".