1010762040 has 128 divisors (see below), whose sum is σ = 3100032000. Its totient is φ = 263566848.

The previous prime is 1010762029. The next prime is 1010762063. The reversal of 1010762040 is 402670101.

It is a junction number, because it is equal to n+sod(n) for n = 1010761998 and 1010762016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2598166 + ... + 2598554.

It is an arithmetic number, because the mean of its divisors is an integer number (24219000).

Almost surely, 2^1010762040 is an apocalyptic number.

1010762040 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 1010762040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550016000).

1010762040 is an abundant number, since it is smaller than the sum of its proper divisors (2089269960).

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

1010762040 is a wasteful number, since it uses less digits than its factorization.

1010762040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 1010762040 is about 31792.4840174529. The cubic root of 1010762040 is about 1003.5745540058.

The spelling of 1010762040 in words is "one billion, ten million, seven hundred sixty-two thousand, forty".