1007825040 has 120 divisors (see below), whose sum is σ = 3531827520. Its totient is φ = 257064192.

The previous prime is 1007825033. The next prime is 1007825057. The reversal of 1007825040 is 405287001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1007825040² = 2031422622502003200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1007824995 and 1007825013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13870 + ... + 46989.

It is an arithmetic number, because the mean of its divisors is an integer number (29431896).

Almost surely, 2^1007825040 is an apocalyptic number.

1007825040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1007825040 is an abundant number, since it is smaller than the sum of its proper divisors (2524002480).

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

1007825040 is a wasteful number, since it uses less digits than its factorization.

1007825040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60901 (or 60892 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1007825040 is about 31746.2602521935. The cubic root of 1007825040 is about 1002.6015726173.

The spelling of 1007825040 in words is "one billion, seven million, eight hundred twenty-five thousand, forty".